Academic literature on the topic 'Boussinesq equation'
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Journal articles on the topic "Boussinesq equation"
CLARKSON, PETER A. "RATIONAL SOLUTIONS OF THE BOUSSINESQ EQUATION." Analysis and Applications 06, no. 04 (October 2008): 349–69. http://dx.doi.org/10.1142/s0219530508001250.
Full textXu, Fei, Yixian Gao, and Weipeng Zhang. "Construction of Analytic Solution for Time-Fractional Boussinesq Equation Using Iterative Method." Advances in Mathematical Physics 2015 (2015): 1–7. http://dx.doi.org/10.1155/2015/506140.
Full textClarkson, Peter A. "New exact solutions of the Boussinesq equation." European Journal of Applied Mathematics 1, no. 3 (September 1990): 279–300. http://dx.doi.org/10.1017/s095679250000022x.
Full textJafari, Hossein, Nematollah Kadkhoda, and Chaudry Massod Khalique. "Application of Lie Symmetry Analysis and Simplest Equation Method for Finding Exact Solutions of Boussinesq Equations." Mathematical Problems in Engineering 2013 (2013): 1–4. http://dx.doi.org/10.1155/2013/452576.
Full textFan, Fei, Bing Chen Liang, and Xiu Li Lv. "Study of Wave Models of Parabolic Mild Slope Equation and Boussinesq Equation." Applied Mechanics and Materials 204-208 (October 2012): 2334–40. http://dx.doi.org/10.4028/www.scientific.net/amm.204-208.2334.
Full textBulut, Hasan, Münevver Tuz, and Tolga Akturk. "New Multiple Solution to the Boussinesq Equation and the Burgers-Like Equation." Journal of Applied Mathematics 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/952614.
Full textRashidi, Saeede, and S. Reza Hejazi. "Symmetry properties, similarity reduction and exact solutions of fractional Boussinesq equation." International Journal of Geometric Methods in Modern Physics 14, no. 06 (May 4, 2017): 1750083. http://dx.doi.org/10.1142/s0219887817500839.
Full textMelinand, Benjamin. "Long wave approximation for water waves under a Coriolis forcing and the Ostrovsky equation." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 148, no. 6 (July 19, 2018): 1201–37. http://dx.doi.org/10.1017/s0308210518000136.
Full textJohnson, R. S. "A Two-dimensional Boussinesq equation for water waves and some of its solutions." Journal of Fluid Mechanics 323 (September 25, 1996): 65–78. http://dx.doi.org/10.1017/s0022112096000845.
Full textAbazari, Reza, and Adem Kılıçman. "Solitary Wave Solutions of the Boussinesq Equation and Its Improved Form." Mathematical Problems in Engineering 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/468206.
Full textDissertations / Theses on the topic "Boussinesq equation"
Sitanggang, Khairil Irfan. "Boussinesq-equation and rans hybrid wave model." [College Station, Tex. : Texas A&M University, 2008. http://hdl.handle.net/1969.1/ETD-TAMU-2795.
Full textLiu, Fang-Lan. "Some asymptotic stability results for the Boussinesq equation." Diss., Virginia Tech, 1993. http://hdl.handle.net/10919/40052.
Full textSjölander, Filip. "Numerical solutions to the Boussinesq equation and the Korteweg-de Vries equation." Thesis, KTH, Skolan för teknikvetenskap (SCI), 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-297544.
Full textSun, Weizhou. "LOCAL DISCONTINUOUS GALERKIN METHOD FOR KHOKHLOV-ZABOLOTSKAYA-KUZNETZOV EQUATION AND IMPROVED BOUSSINESQ EQUATION." The Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1480327264817905.
Full textLi, Shenghao. "Non-homogeneous Boundary Value Problems for Boussinesq-type Equations." University of Cincinnati / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1468512590.
Full textMoore, Kieron R. "Coupled Boussinesq equations and nonlinear waves in layered waveguides." Thesis, Loughborough University, 2013. https://dspace.lboro.ac.uk/2134/13636.
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 textHu, Weiwei. "Approximation and Control of the Boussinesq Equations with Application to Control of Energy Efficient Building Systems." Diss., Virginia Tech, 2012. http://hdl.handle.net/10919/38664.
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Attaoui, Abdelatif. "Existence de solutions faibles et faible-renormalisées pour des systèmes non linéaires de Boussinesq." Phd thesis, Université de Rouen, 2007. http://tel.archives-ouvertes.fr/tel-00259252.
Full textLe premier chapitre nous donne un résultat d'existence d'une solution faible-renormalisée du système de Boussinesq en dimension 2, dans le cas où F est bornée.
Dans le chapitre 2, on aborde le cas de fonctions F plus générales : F vérifie une hypothèse de croissance. On démontre l'existence de solutions pour toutes données initiales ou pour des données initiales petites selon la croissance de F.
Dans le chapitre 3, nous faisons une généralisation des résultats du chapitre 2 mais sans le terme de convection.
Dans le chapitre 4, le manque de stabilité de l'énergie de dissipation dans L1(Q) en dimension 3, nous contraint à transformer de façon formelle le système de Boussinesq. On démontre l'existence d'une solution faible de ce nouveau système en dimension 3.
Aldbaissy, Rim. "Discrétisation du problème de couplage instationnaire des équations de Navier-Stokes avec l'équation de la chaleur." Thesis, Sorbonne université, 2019. http://www.theses.fr/2019SORUS013.
Full textThe analytical solutions of the majority of partial differential equations are difficult to calculate, hence, numerical methods are employed. This work is divided into two parts. First, we study the time dependent Navier-Stokes equations coupled with the heat equation with nonlinear viscosity depending on the temperature known as the Boussinesq (buoyancy) model . Then, numerical experiments are presented to confirm the theoretical accuracy of the discretization using the Freefem++ software. In the first part, we propose first order numerical schemes based on the finite element method for the space discretization and the semi-implicit Euler method for the time discretization. In order to gain time and order of convergence, we study a second order scheme in time and space by using respectively the second order BDF method "Backward Differentiation Formula" and the finite element method. An optimal a priori error estimate is then derived for each numerical scheme. Finally, numerical experiments are presented to confirm the theoretical results. The second part is dedicated to the modeling of the thermal instability that appears from time to time while printing using a 3D printer. Our purpose is to build a reliable scheme for the 3D simulation. For this reason, we propose a trivial parallel algorithm based on the domain decomposition method. The numerical results show that this method is not efficient in terms of scalability. Therefore, it is important to use a one-level preconditioning method "ORAS". When using a large number of subdomains, the numerical test shows a slow convergence. In addition, we noticed that the iteration number depends on the physical model. A coarse space correction is required to obtain a better convergence and to be able to model in three dimensions
Books on the topic "Boussinesq equation"
National Aeronautics and Space Administration (NASA) Staff. On the Asymptotic Regimes and the Strongly Stratified Limit of Rotating Boussinesq Equations. Independently Published, 2018.
Find full textA, Babin, and Institute for Computer Applications in Science and Engineering., eds. On the asymptotic regimes and the strongly stratified limit of rotating Boussinesq equations. Hampton, Va: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1997.
Find full textBook chapters on the topic "Boussinesq equation"
Zhang, Bing-Yu. "Exact Controllability of the Generalized Boussinesq Equation." In Control and Estimation of Distributed Parameter Systems, 297–310. Basel: Birkhäuser Basel, 1998. http://dx.doi.org/10.1007/978-3-0348-8849-3_23.
Full textMothibi, Dimpho Millicent, and Chaudry Masood Khalique. "Exact Solutions of a Coupled Boussinesq Equation." In Springer Proceedings in Mathematics & Statistics, 323–27. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12307-3_46.
Full textAscanelli, Alessia, and Chiara Boiti. "Well-Posedness for a Generalized Boussinesq Equation." In Trends in Mathematics, 193–202. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12577-0_23.
Full textDimova, Milena, and Daniela Vasileva. "Comparison of Two Numerical Approaches to Boussinesq Paradigm Equation." In Lecture Notes in Computer Science, 255–62. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-41515-9_27.
Full textPorubov, A. V. "On Some Exact Solutions of Hyperbolic Boussinesq Equation with Dissipation." In Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects, 481–86. Wiesbaden: Vieweg+Teubner Verlag, 1993. http://dx.doi.org/10.1007/978-3-322-87871-7_58.
Full textLudlow, D. K., and P. A. Clarkson. "Symmetry Reductions and Exact Solutions for a Generalised Boussinesq Equation." In Applications of Analytic and Geometric Methods to Nonlinear Differential Equations, 415–30. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-2082-1_40.
Full textDimova, Milena, and Natalia Kolkovska. "Comparison of Some Finite Difference Schemes for Boussinesq Paradigm Equation." In Mathematical Modeling and Computational Science, 215–20. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-28212-6_23.
Full textKolkovska, Natalia T. "Convergence of Finite Difference Schemes for a Multidimensional Boussinesq Equation." In Numerical Methods and Applications, 469–76. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-18466-6_56.
Full textKato, Shouichiro, Akira Anju, and Mutsuto Kawahara. "A Finite Element Study of Solitary Wave by Boussinesq Equation." In Computational Methods in Water Resources X, 1067–72. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-010-9204-3_129.
Full textVucheva, Veselina, and Natalia Kolkovska. "A Symplectic Numerical Method for the Sixth Order Boussinesq Equation." In Advanced Computing in Industrial Mathematics, 417–27. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-71616-5_37.
Full textConference papers on the topic "Boussinesq equation"
Choudhury, Jayanta. "2D Solitary Waves of Boussinesq Equation." In ISIS INTERNATIONAL SYMPOSIUM ON INTERDISCIPLINARY SCIENCE. AIP, 2005. http://dx.doi.org/10.1063/1.1900395.
Full textVucheva, V., and N. Kolkovska. "A symplectic numerical method for Boussinesq equation." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’18. Author(s), 2018. http://dx.doi.org/10.1063/1.5064941.
Full textKolkovska, N., and V. Vucheva. "Numerical investigation of sixth order Boussinesq equation." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’17. Author(s), 2017. http://dx.doi.org/10.1063/1.5007409.
Full textsalmei, H., and F. salimi. "Modified Homotopy Pertutbation Method for solving Boussinesq Equation." In ICMS INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE. American Institute of Physics, 2010. http://dx.doi.org/10.1063/1.3525215.
Full textKudryashov, Nikolay A., and Alexandr K. Volkov. "On analytical solutions of the generalized Boussinesq equation." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM 2015). Author(s), 2016. http://dx.doi.org/10.1063/1.4952014.
Full textServi, Sema, Yildiray Keskin, and Galip Oturanç. "Reduced differential transform method for improved Boussinesq equation." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912601.
Full textAnco, S., M. Rosa, and M. L. Gandarias. "On conservation laws for a generalized Boussinesq equation." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016). Author(s), 2017. http://dx.doi.org/10.1063/1.4992434.
Full textKolkovska, N., and V. M. Vassilev. "Solitary waves to Boussinesq equation with linear restoring force." In APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 11th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’19. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5130850.
Full textBRUGARINO, T., and M. SCIACCA. "SOME EXACT SOLUTIONS OF THE TWO DIMENSIONAL BOUSSINESQ EQUATION." In Proceedings of the 15th Conference on WASCOM 2009. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814317429_0007.
Full textBRUZÓN, M. S., M. L. GANDARIAS, and J. RAMÍREZ. "CLASSICAL SYMMETRIES FOR A BOUSSINESQ EQUATION WITH NONLINEAR DISPERSION." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812794543_0006.
Full textReports on the topic "Boussinesq equation"
M. A. Jafarizadeh and A. R. Esfandyari. Exact Solutions of Boussinesq Equation. GIQ, 2012. http://dx.doi.org/10.7546/giq-3-2002-304-314.
Full textDimova, Milena, Natalia Kolkovska, and Nikolay Kutev. Orbital Stability or Instability of Solitary Waves to Generalized Boussinesq Equation with Quadratic-cubic Nonlinearity. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, August 2018. http://dx.doi.org/10.7546/crabs.2018.08.01.
Full textWalker, David T. Variational Data Assimilation for Near-Shore Waves Using the Extended Boussinesq Equations. Fort Belvoir, VA: Defense Technical Information Center, October 2005. http://dx.doi.org/10.21236/ada441232.
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