Dissertations / Theses on the topic 'Initial boundary'
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Mugnolo, Delio. "Second order abstract initial-boundary value problems." [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=971647674.
Full textZhao, Kun. "Initial-boundary value problems in fluid dynamics modeling." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/31778.
Full textCommittee Chair: Pan, Ronghua; Committee Member: Chow, Shui-Nee; Committee Member: Dieci, Luca; Committee Member: Gangbo, Wilfrid; Committee Member: Yeung, Pui-Kuen. Part of the SMARTech Electronic Thesis and Dissertation Collection.
Al-Kharafi, Abdulmohsen A. H. "Finite element solution of initial/boundary value problems." Thesis, Loughborough University, 1986. https://dspace.lboro.ac.uk/2134/32335.
Full textQin, Jingsheng. "Initial boundary value problems associated with a spinning string." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq23465.pdf.
Full textForgoston, Eric T. "Initial-Value Problem for Perturbations in Compressible Boundary Layers." Diss., The University of Arizona, 2006. http://hdl.handle.net/10150/195810.
Full textBozkaya, Canan. "Boundary Element Method Solution Of Initial And Boundary Value Problems In Fluid Dynamics And Magnetohydrodynamics." Phd thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/12609552/index.pdf.
Full textKalimeris, Konstantinos. "Initial and boundary value problems in two and three dimensions." Thesis, University of Cambridge, 2010. https://www.repository.cam.ac.uk/handle/1810/225180.
Full textMantzavinos, Dionyssios. "Initial-boundary value problems for linear and integrable nonlinear evolution PDEs." Thesis, University of Cambridge, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.610568.
Full textRan, Yu. "Nonhomogeneous Initial Boundary Value Problems for Two-Dimensional Nonlinear Schrodinger Equations." Diss., Virginia Tech, 2014. http://hdl.handle.net/10919/47930.
Full textPh. D.
Thornburg, Jonathan. "Coordinates and boundary conditions for the general relativistic initial data problem." Thesis, University of British Columbia, 1985. http://hdl.handle.net/2429/25060.
Full textScience, Faculty of
Physics and Astronomy, Department of
Graduate
Fang, Chin-Lung. "Predictability of Japan/East Sea (JES) system to uncertain initial/lateral boundary conditions and surface winds." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2003. http://library.nps.navy.mil/uhtbin/hyperion-image/03sep%5FFang.pdf.
Full textThesis advisor(s): Peter C. Chu, Steve Haeger. Includes bibliographical references (p. 73-77). Also available online.
Carey, John Fernando. "Initial assessment in forensic psychiatry : the forensic assessment format as a boundary object." Thesis, Durham University, 2017. http://etheses.dur.ac.uk/12134/.
Full textDoroshenko, V. O., N. P. Klimova, N. P. Stognii, and Yu D. Kostyn. "Mathematical Modelling of Impulse Excitation of a Superwideband PEC Cone Antenna." Thesis, 2019 IEEE 8th International Conference on Advanced Optoelectronics and Lasers, CAOL*2019, 2019. https://openarchive.nure.ua/handle/document/16284.
Full textThorning, Casper. "Grain boundary ridge formation during initial high temperature oxidation of Mn/Al TRIP steel /." Stockholm, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4081.
Full textNegron, Luis G. "Initial-value technique for singularly perturbed two point boundary value problems via cubic spline." Master's thesis, University of Central Florida, 2010. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/4597.
Full textID: 029051011; System requirements: World Wide Web browser and PDF reader.; Mode of access: World Wide Web.; Thesis (M.S.)--University of Central Florida, 2010.; Includes bibliographical references (p. 48-50).
M.S.
Masters
Department of Mathematics
Sciences
Nilsson, Jonas. "Initial-boundary-value problems for the Stokes and Navier-Stokes equations on staggered grids /." Uppsala : Acta universitatis Upsaliensis, 2000. http://catalogue.bnf.fr/ark:/12148/cb392870516.
Full textJakab, Tunde. "Parabolic layer potentials and initial boundary value problems in Lipschitz cylinders with data in Besov spaces." Diss., Columbia, Mo. : University of Missouri-Columbia, 2006. http://hdl.handle.net/10355/4438.
Full textThe entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file viewed on (February 27, 2007) Vita. Includes bibliographical references.
Trumper, Miles Thomas. "A study of nozzle exit boundary layers in high-speed jet flows." Thesis, Loughborough University, 2006. https://dspace.lboro.ac.uk/2134/31797.
Full textKunik, Matthias [Verfasser], and Gerald [Gutachter] Warnecke. "Selected initial and boundary value problems for hyperbolic systems and kinetic equations / Matthias Kunik ; Gutachter: Gerald Warnecke." Magdeburg : Universitätsbibliothek Otto-von-Guericke-Universität, 2019. http://d-nb.info/1220035262/34.
Full textVARGAS, JOSE VIRIATO COELHO. "INITIAL VALUE METHOD FOR THE SOLUTION OF NON-SIMILAR BOUNDARY LAYERS APPLIED TO A WEDGE IN MEXED CONVECTION." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 1992. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=19598@1.
Full textO presente trabalho apresenta o método de varredura de valores iniciais para a solução de problemas não-similares de camada limite, aplicado a uma cunha em convecção mista. É feita uma análise dos efeitos da força de empuxo nas características de transferência de calor e atrito, na superfície da cunha submetida a um escoamento laminar em convecção forçada. Os casos analisados referem-se a temperatura uniforme na superfície e a fluxo de calor uniforme através da superfície. Apresentam-se resultados numéricos para a placa vertical e a cunha em 120 graus celsius (problema similar), os quais foram comparados com os disponíveis na literatura, apresentando-se excelente concordância. Ainda são apresentados resultados para a cunha em 90 graus celsius e em 180 graus Celsius. Os resultados foram obtidos para o número de Prandtl 0,7 em uma larga faixa do parâmetro de não-similaridade (0 a 100 para temperatura uniforme e 0 a 5 para fluxo de calor uniforme). Em geral, verifica-se que para ambos os casos estudados de condições da superfície, o coeficiente de atrito local e o número de Nusselt local aumentam com o aumento da força de empuxo para o escoamento ajudado e diminuem com o aumento da força de empuxo para o escoamento ajudado e diminuem com o aumento da força de empuxo para o escoamento oposto. Verifica-se também que os efeitos de convecção natural diminuem com o aumento do ângulo da cunha. Compara-se, por fim os resultados de transferência de calor entre os dois casos estudados. O método possibilita a obtenção de resultados com o uso de um microcomputador PC AT-286 com o co-processador matemático, sem o uso de dupla precisão. As tolerâncias utilizadas para a convergência são as mesmas dos resultados disponíveis na literatura. Adicionalmente, o tempo computacional necessário para a obtenção das soluções foi bastante reduzido. Para toda a faixa de variação do parâmetro de não-similaridade, o equacionamento utilizado foi o mesmo, baseado em parâmetros de correlação para convecção forçada em uma superfície plana com injeção de massa, com ótima concordância com resultados disponíveis na literatura.
The present work introduces a method for searching initial values, to solve non-similar Boundary Layer problems. The new method has been applied to the problem of mixed convection on a Wedge. An analysis is performed to study the effects of buoyancy force on the heat transfer and friction characteristics of laminar forced convection flow which is either maintained at a uniform temperature or subjected to a uniform temperature or subjected to a uniform heat flux. Numerical results are presented for Prandtl number of 7,0 over a wide range of values of the buoyancy force parameters (0 to 100 for uniform temperature and 0 to 5 for uniform heat flux). The results for the vertical plate and for the similar wedge (120 graus celsius) Have been compared with solutions availabein the literature, showing an excellent agreement. In addition, solutions for the 90 degree celsius wedge and for the flat wall (180 degree celsius are also obtained. In general, it is found that for both surface heating conditions, the local friction factor and the local Nusselt number increase with increasing bouyancy force for assisting flow and decrease with inscreasing bouyancy force for opposing flow. Further, the effects of the buoyancy force on these two quantities are found to diminish as the angle of the wedge increases. A comparison is also made of the results beteween the case of uniform wall temperature and the case of uniform surface heat flux. The method turns possible to obtain results with the use of a microcomputer PC AT-286 with a Math co-processor, discarding the use of double precision. The tolerances for convergence are the same as the results available in the literature. The necessary computacional time to get the solution was greatly reduced. For the entire range of the buoyancy force parameter, the governing equations are the same, based upon forced convection parameters. To illustrate the flexibility of the method, the surface mass trasnfer problem of uniform injection (blowing) in a flat plate under forced cnvection, has been solved and the results compared with the available ones in the literature.
Tiwari, Shreevant. "Methods for atomistic input into the initial yield and plastic flow criteria for nanocrystalline materials." Diss., Georgia Institute of Technology, 2014. http://hdl.handle.net/1853/53059.
Full textMudavanhu, Blessing. "A new renormalization method for the asymptotic solution of multiple scale singular perturbation problems /." Thesis, Connect to this title online; UW restricted, 2002. http://hdl.handle.net/1773/6794.
Full textSchmitt, Johann Michael [Verfasser]. "Optimal Control of Initial-Boundary Value Problems for Hyperbolic Balance Laws with Switching Controls and State Constraints / Johann Michael Schmitt." München : Verlag Dr. Hut, 2019. http://d-nb.info/1188516450/34.
Full textGöransson, Albin. "Stability and accuracy for difference methods using asynchronous processors." Thesis, Linköpings universitet, Matematiska institutionen, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-146045.
Full textSchultz, Richard. "Vodní ráz v oblasti nízkých tlaků." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2012. http://www.nusl.cz/ntk/nusl-230123.
Full textRivas, Ivonne. "Analysis and Control of the Boussinesq and Korteweg-de Vries Equations." University of Cincinnati / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1321371582.
Full textSharma, Sushank. "Transition laminaire turbulent dans les couches limites supersoniques : différents scénarios et contrôle possible Control of oblique-type breakdown in a supersonic boundary layer employing streaks Turbulent flow topology in supersonic boundary layer with wall heat transfer Laminar-to-turbulent transition in supersonic boundary layer : : Effects of initial perturbation and wall heat transfer Effect of thermo-mechanical non-equilibrium on the onset of transition in supersonic boundary layers." Thesis, Normandie, 2019. http://www.theses.fr/2019NORMIR16.
Full textDirect numerical simulations (DNS) of both adiabatic and isothermal (heated and cooled) supersonic boundary layers are performed. Two different transition scenarios, namely the Oblique-type breakdown and the By-pass transition are presented in detail. For the oblique-type transition scenario, the results show that the control modes with four to five times the fundamental wavenumber are beneficial for controlling the transition. In the first region, after the control-mode forcing, the beneficial mean-flow distortion (MFD) generated by inducing the control mode is solely responsible for hampering the growth of the fundamental-mode. Globally, the MFD and the three-dimensional part of the control contribute equally towards controlling the oblique breakdown. Effects of physical parameters like wall-temperature, perturbation intensity and baseflow are investigated for the By-pass transition. The results regarding the by-pass scenario reveal that increasing the perturbation intensity moves the transition onset upstream and also increases the length of the transition region. Additionally, below 1% perturbation levels, wall-cooling stabilizes the flow while inverse happens at higher values. The existence of the thermo-mechanical non-equilibrium advances the onset of transition for the heated cases while the cooled wall behaves in the opposite sense. The analyses of the turbulent boundary layer show that the thermal factors influence the topology and inclination of the vortical structures. Moreover, regarding the heat flux, different transfer process is dominant in the near-wall region for the cooled wall
Exare, Christelle. "Les aspirations intrusives dans l’anglais des apprenants francophones." Thesis, Sorbonne Paris Cité, 2017. http://www.theses.fr/2017USPCA008.
Full textThis dissertation describes some salient, yet variable, intrusive tokens of aspiration, often represented by /h/ or [h], in French learners’ L2 English productions (e.g. : I hate pasta instead of I ate pasta). The phoneme /h/ is weak in Indo-European languages. Historically, the consonant has undergone progressive lenition and exhibits strong intralinguistic and extralinguistic --diachronic, dialectal and stylistic-- variation. The glottal fricative /h/ at English word onsets is characterised by i) an open glottis and ii) the supraglottal configuration of the following vowel. In the present study, the onsets of English words are analysed in three types of data: i) a text read by 8 native English speakers and 10 French learners of English, ii) spontaneous speech elicited from 25 French learners and iii) a perception test taken by 30 French-speaking students. The frequency of intrusive tokens of aspiration at L2 English word onsets shows high inter- and intra-speaker variability. Importantly, however, they only surface i) in strict initial position or ii) after a vocalic sound. A pause, some glottalisation or some aspiration are three processes that contribute to increasing the time span between two vowels in a hiatus context. Glottalisation and aspiration both correspond to glottal tension. Illicit tokens of aspiration can be considered as occurrences of hypercorrection, which may result from : i) incomplete assimilation of the English [ʔ] ~ [h] contrast, ii) optional phonological repair of *#V, iii) a glottal constriction gesture that fails to reach its target (i.e. inchoative glottalisation) and an intrusive gesture of glottal opening. Phonetic corrective feedback in L2 learning is proposed. It aims at raising the learner’s awareness of i) glottal control for aspiration, glottalisation, and continuous modal voicing across word boundaries and ii) some syllabic specificities of French and English that make word boundaries potential stumbling blocks in French learners’ L2 English
El, Ouaraini Rachida. "Sensibilité des assimilations d'ensemble globales et régionales aux conditions initialites et aux conditions limites latérales." Phd thesis, Toulouse, INPT, 2016. http://oatao.univ-toulouse.fr/15999/1/ElOuaraini.pdf.
Full textTiwari, Ganesh. "Numerical Analysis of Non-Fickian Diffusion with a General Source." ScholarWorks@UNO, 2013. http://scholarworks.uno.edu/honors_theses/49.
Full textVelissariou, Panagiotis. "Development of a Coastal Prediction System That Incorporates Full 3D Wave-Current Interactions on the Mean Flow and the Scalar Transport With Initial Application to the Lake Michigan Turbidity Plume." The Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=osu1229959016.
Full textGrenier, Muriel. "Attraction d'ondes pour des systèmes à résonance d'ondes contra-propagatives." Phd thesis, Université de Bourgogne, 2011. http://tel.archives-ouvertes.fr/tel-00696097.
Full textVašek, Lubomír. "Trhání vodního sloupce pod OK vodní turbíny při nestacionárních stavech." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2012. http://www.nusl.cz/ntk/nusl-230024.
Full textNguyen, Phuoc Tai. "Trace au bord de solutions d'équations de Hamilton-Jacobi elliptiques et trace initiale de solutions d'équations de la chaleur avec absorption sur-linéaire." Phd thesis, Université François Rabelais - Tours, 2012. http://tel.archives-ouvertes.fr/tel-00710410.
Full textPham, Thanh Tung. "Multiscale modelling and simulation of slip boundary conditions at fluid-solid interfaces." Phd thesis, Université Paris-Est, 2013. http://tel.archives-ouvertes.fr/tel-00980155.
Full textOzfidan, Asli Isil. "Ab Initio Modeling of Thermal Barrier Coatings: Effects of Dopants and Impurities on Interface Adhesion, Diffusion and Grain Boundary Strength." Thèse, Université d'Ottawa / University of Ottawa, 2011. http://hdl.handle.net/10393/19974.
Full textKitchen, Ryan L. "Improving Steering Module Efficiency for Incremental Loading Finite Element Numeric Models." Diss., CLICK HERE for online access, 2006. http://contentdm.lib.byu.edu/ETD/image/etd1248.pdf.
Full textAbitbol, Leïa. "Initier des coopérations inter-organisationnelles dans les démarches d’écologie industrielle et territoriale : une relecture en termes de sociologie de la traduction et de la théorie des objets-frontière." Thesis, Lyon 3, 2012. http://www.theses.fr/2012LYO30020/document.
Full textIndustrial and territorial ecology (ITE) is still a very recent and rare approach. However, the method of sustainable development, to which ITE belongs, is more and more present in today's organizations and ITE is increasingly considered to be the 'science of sustainability'.Research on ITE is mainly focused on the physical dimension of energy exchanges and material flows. Today, little has been found on the actors who use these flows and the organizations who produce or consume them. However, stating that the implementation of ITE requires change from a mechanism optimized at the organizational boundaries to a performing natural ecosystems mechanism, means thinking outside organizational boundaries. While inter-organizational cooperation is not new to management studies, the research carried out on this topic rarely addresses the initiation phase of cooperation, especially when the interest of cooperation is not clear at first insight. The objective of the present thesis is to understand how to prompt actors (organizations and individuals) to cooperate when there are no regulatory constraints or obvious economic incentives to do so, as it is currently the case in ITE approaches. This thesis is based on first the work of the sociology of translation and the emerging theory of boundary objects, and second on the analysis of four French ITE approaches. This thesis provides a better understanding of the mechanisms that allow to "enrol" players in the ITE processes and how it is possible to initialize the inter-organizational cooperation they require. The results of this study suggest a high degree of flexibility in the conduct of the ITE approach: rather than trying to convince actors of a benefit that is difficult to formulate, project leaders may have more success letting the needs, desires and expectations emerge. If they see it as their responsibility to mobilize boundary objects that can help in building a shared context and identify the common interests to participate all together, the dynamics of a successful ITE process can emerge.Ultimately, this thesis shows how translation must be considered as an important element in the specific context of ITE. We show both practical and theoretical implications for those who are interested in the dynamics of inter-organizational cooperation, in the sociology of translation and in the theory of boundary objects
Li, Siqian. "The atomic struture of inversion domains and grain boundaries in wurtzite semonconductors : an investigation by atomistic modelling and high resolution transmission electron microscopy." Thesis, Normandie, 2018. http://www.theses.fr/2018NORMC252/document.
Full textIn this work, we investigated two kinds of interfacial defects: inversion domain boundaries (IDBs) and grain boundaries (GB) in wurtzite semiconductors (III-nitrides, ZnO and ZnO/GaN heterostructure) using high-resolution TEM and first-principle calculations. For IDBs, theoretical calculation indicated that a head-to-head IDB with an interfacial stacking sequence of AaBbAa-AcCaA (H4) is the most stable structure in wurtzite compounds. Moreover, 2-dimensional electron gas (2DEG) and 2-dimensional hole gas (2DHG) build up in head-to-head and tail-to-tail IDBs, respectively. Considering the IDB at the ZnO/GaN heterointerface, TEM observations unveiled the H4 configuration with a -Zn-O-Ga-N interface. Moreover the theoretical investigation also confirmed stability of this interface along with the corresponding formation of a 2DHG. A detailed topological, TEM and theoretical investigation of [0001] tilt Grain Boundaries (GBs) in wurtzite symmetry has also been carried out. In GaN, it is shown that the GBs are only made of separated a edge dislocations with 4, 5/7 and 8 atoms rings. For ZnO, a new structural unit: the [101 ̅0] edge dislocation made of connected 6-8-4-atom rings is reported for the first time, in agreement with an early theoretical report on dislocations and jogs in the wurtzite symmetry
Tao, Liang. "Atomic-scale calculations of interfacial structures and their properties in electronic materials." The Ohio State University, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=osu1127163029.
Full textJohansen, Jonathan Frederick. "Mathematical modelling of primary alkaline batteries." Queensland University of Technology, 2007. http://eprints.qut.edu.au/16412/.
Full text"Boundary control of quasi-linear hyperbolic initial boundary-value problems." Université catholique de Louvain, 2004. http://edoc.bib.ucl.ac.be:81/ETD-db/collection/available/BelnUcetd-09242004-170922/.
Full textO'Regan, Daniel J. "Initial and boundary value problems via topological methods /." 1985. http://hdl.handle.net/1957/16823.
Full textChiang, Wen Shin, and 蔣文心. "Parameter Identification for Parabolic Initial-boundary Value Problem." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/53836384016955784570.
Full textCorbett, Norman Christopher. "Initial moving-boundary value problems associated with the wave equation." 1991. http://hdl.handle.net/1993/17356.
Full textKang, Cheng-Hui, and 康政惠. "Solutions of the initial boundary value problem to the MBBM." Thesis, 1997. http://ndltd.ncl.edu.tw/handle/25310176925994854478.
Full text國立高雄師範大學
數學教育研究所
85
In this paper we study the existence and uniqueness of the initial-boundaryvalue problem for the modifiedBenjamin-Bona- Mahony (MBBM for short) equation \begin{displaymath} u_t+u_x+ u^2u_x-u_{xxt}=0\,, \end{displaymath} \begin{displaymath} u( x,0)=g(x)\,,\;\;x\in{\br}\,, \end{displaymath} \begin{displaymath} u(0,t)=h(x)\,,\;\;t\geq 0\,. \end{displaymath} under the conditionson the initial value $g(x) \in H^1(\br) \cap C_b^2( \br)$ andthe boundary value $h(t) \in C^1([0,T])$. We also study the property of continuous dependence on the specified data ofthe solutions for the MBBM equation.
Mugnolo, Delio [Verfasser]. "Second order abstract initial-boundary value problems / vorgelegt von Delio Mugnolo." 2004. http://d-nb.info/971647674/34.
Full textHuang, I.-Ju, and 黃漪茹. "The Influences of Initial and Boundary Conditions on the Free Surface." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/35705448810947666339.
Full text國立成功大學
機械工程學系碩博士班
91
This research investigates the transient characteristics of free surface vortex in a tank which has a vertical discharge pipe built on its bottom. The variations of flowrate, distributions of pressure, generations of dimple and critical submergence have been analyzed as initial submergence depth, size of the discharge pipe, distance between discharge pipe and wall and settling time are changed. From the experiments, we found that the change of flowrate bears relation to the size, length and outlet design of the discharge pipe and distance between discharge pipe and wall rather than initial submergence depth. Furthermore, the cross-sectional area of discharging is the primary factor influencing the flowrate. As the water-draining process goes on, a dimple forms on the free surface of liquid which is originally flat after the water level drops to a specific height. The dimple develops downward continually and an air column is thus generated. The water level corresponding to when the dimple and the air column are formed rises with initial submergence depth. As settling time gets longer, the water level corresponding to dimple and air column formation decreases. After several hours, it reaches a steady value. As to wall effects, they can be divided into two types: single wall effect, and corner effect. For a shorter distance between discharge pipe and wall, the formation of dimple and air column is slower, because the wall restrains the formation of dimple and air column. For water draining out of two discharge pipes, the formation of dimple and air column is also slower due to the mutual inhibition between the two vortices. If the distance between two discharge pipes is less than two times the pipe diameter, the air column is unstable.
Olafson, Stephanie K. "An initial moving-boundary value problem associated with the spinning wave equation." 2001. http://hdl.handle.net/1993/19561.
Full textChing, Guai-Ing, and 秦桂英. "The Existence Theory of the Initial-Boundary Value Problem for the GBBM Equation." Thesis, 1998. http://ndltd.ncl.edu.tw/handle/16579633148662043664.
Full text國立高雄師範大學
數學研究所
86
In this paper we study the existence and uniqueness of the initial- boundary value problem for the generalized Benjamin-Bona-Mahony (GBBM for short) equation ut + ux + upux-uxxt=0, for p≧1, u(x,0)=g(x),xεR+, u(0,t) = h(t),t≧0. where the initial value g(x) εH1(R+)∩C2b(R+) and the boundary value h(t) εC1 (〔0,T〕) are specified, with g(0) = h(0) for consistency. We also study the property of continuous dependence on the specific data, from initial and boundary conditions for example, of the solutions for the GBBM equation.