Dissertations / Theses on the topic 'Free Boundary Value Problem'
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Stamic̆ar, Robert Nikola. "A free boundary problem modelling zoning in rocks /." *McMaster only, 1998.
Find full textGillies, Bruce. "The double free boundary value problem of laser welding of thin sheets at medium speeds." Thesis, Heriot-Watt University, 2000. http://hdl.handle.net/10399/1205.
Full textMoyo, Simiso. "Hydrodynamic interaction of horizontal circular cylinders with a free-surface." Thesis, Brunel University, 1996. http://bura.brunel.ac.uk/handle/2438/5313.
Full textFernando, Chathuri [Verfasser]. "Optimal Control of Free Boundary Value Problems in Thermoelasticity / Chathuri Fernando." München : Verlag Dr. Hut, 2018. http://d-nb.info/1164294075/34.
Full textWomble, David Eugene. "The convergence of the method of lines for time dependent free boundary problems." Diss., Georgia Institute of Technology, 1986. http://hdl.handle.net/1853/29154.
Full textRodolfo, Karl. "A Comparative Study of American Option Valuation and Computation." Thesis, The University of Sydney, 2007. http://hdl.handle.net/2123/2063.
Full textRodolfo, Karl. "A Comparative Study of American Option Valuation and Computation." Science. School of Mathematics and Statistics, 2007. http://hdl.handle.net/2123/2063.
Full textFor many practitioners and market participants, the valuation of financial derivatives is considered of very high importance as its uses range from a risk management tool, to a speculative investment strategy or capital enhancement. A developing market requires efficient but accurate methods for valuing financial derivatives such as American options. A closed form analytical solution for American options has been very difficult to obtain due to the different boundary conditions imposed on the valuation problem. Following the method of solving the American option as a free boundary problem in the spirit of the "no-arbitrage" pricing framework of Black-Scholes, the option price and hedging parameters can be represented as an integral equation consisting of the European option value and an early exercise value dependent upon the optimal free boundary. Such methods exist in the literature and along with risk-neutral pricing methods have been implemented in practice. Yet existing methods are accurate but inefficient, or accuracy has been compensated for computational speed. A new numerical approach to the valuation of American options by cubic splines is proposed which is proven to be accurate and efficient when compared to existing option pricing methods. Further comparison is made to the behaviour of the American option's early exercise boundary with other pricing models.
Bales, Walter. "Asymptotic approximation of the free boundary for the American put near expiry." To access this resource online via ProQuest Dissertations and Theses @ UTEP, 2009. http://0-proquest.umi.com.lib.utep.edu/login?COPT=REJTPTU0YmImSU5UPTAmVkVSPTI=&clientId=2515.
Full textScheichl, Robert. "Iterative solution of saddle point problems using divergence-free finite elements with applications to groundwater flow." Thesis, University of Bath, 2000. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.341106.
Full textSilverberg, Jon P. "On Lagrangian meshless methods in free-surface flows." Thesis, (1.7 MB), 2005. http://edocs.nps.edu/AR/topic/theses/2005/Jan/05Jan_Silverberg.pdf.
Full text"January 2005." Description based on title screen as viewed on May 25, 2010. DTIC Descriptor(s): Fluid Dynamics, Lagrangian Functions, Equations Of Motion, Acceleration, Formulations, Grids, Continuum Mechanics, Gaussian Quadrature, Derivatives (Mathematics), Compact Disks, Boundary Value Problems, Polynomials, Interpolation, Pressure, Operators (Mathematics). DTIC Identifier(s): Multimedia (CD-Rom), Moving Grids, Meshless Discretization, Lifs (Lagrange Implicit Fraction Step), Lagrangian Dynamics, Meshless Operators, Mlip (Multidimensional Lagrange Interpolating Polynomials), Flux Boundary Conditions, Radial Basis Functions Includes bibliographical references (58-59).
Bernauer, Martin K., and Roland Herzog. "Optimal Control of the Classical Two-Phase Stefan Problem in Level Set Formulation." Universitätsbibliothek Chemnitz, 2010. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-62014.
Full textLange, Rutger-Jan. "Brownian motion and multidimensional decision making." Thesis, University of Cambridge, 2012. https://www.repository.cam.ac.uk/handle/1810/243402.
Full textJoubert, Dominique. "Numerical methods for pricing American put options under stochastic volatility / Dominique Joubert." Thesis, North-West University, 2013. http://hdl.handle.net/10394/10202.
Full textMSc (Applied Mathematics), North-West University, Potchefstroom Campus, 2013
Fei, Zhiling. "Refinements of geodectic boundary value problem solutions." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape4/PQDD_0019/NQ54776.pdf.
Full textStamicar, Robert. "A free boundary problem modelling zoning in rocks." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape11/PQDD_0004/NQ42881.pdf.
Full textLee, Yoon-Mee. "Hopf Bifurcation in a Parabolic Free Boundary Problem." DigitalCommons@USU, 1992. https://digitalcommons.usu.edu/etd/7138.
Full textLienstromberg, Christina. "On Microelectromechanical Systems with General Permittivity." Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLN007/document.
Full textIn the framework of this thesis physical/mathematical models for microelectromechanical systems with general permittivity have been developed and analysed with modern mathematical methods from the domain of partial differential equations. In particular these systems are moving boundary problems and thus difficult to handle. Numerical methods have been developed in order to validate the obtained analytical results
Bondarenko, Oleksandr. "Optimal Control for an Impedance Boundary Value Problem." Thesis, Virginia Tech, 2010. http://hdl.handle.net/10919/36136.
Full textMaster of Science
Frey, Christian [Verfasser], and Matthias [Akademischer Betreuer] Lesch. "On Non-local Boundary Value Problems for Elliptic Operators / Christian Frey. Gutachter: Matthias Lesch." Köln : Universitäts- und Stadtbibliothek Köln, 2005. http://d-nb.info/1037490215/34.
Full textHarutjunjan, Gohar, and Bert-Wolfgang Schulze. "The Zaremba problem with singular interfaces as a corner boundary value problem." Universität Potsdam, 2004. http://opus.kobv.de/ubp/volltexte/2008/2685/.
Full texti.e., Au = f in int X, T±u = g± on int Y±, where Y is subdivided into subsets Y± with an interface Z and boundary conditions T± on Y± that are Shapiro-Lopatinskij elliptic up to Z from the respective sides. We assume that Z ⊂ Y is a manifold with conical singularity v. As an example we consider the Zaremba problem, where A is the Laplacian and T− Dirichlet, T+ Neumann conditions. The problem is treated as a corner boundary value problem near v which is the new point and the main difficulty in this paper. Outside v the problem belongs to the edge calculus as is shown in [3]. With a mixed problem we associate Fredholm operators in weighted corner Sobolev spaces with double weights, under suitable edge conditions along Z {v} of trace and potential type. We construct parametrices within the calculus and establish the regularity of solutions.
Mbiock, Aristide. "Radiative heat transfer in furnaces : elliptic boundary value problem." Rouen, 1997. http://www.theses.fr/1997ROUEA002.
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 textWintz, Nick. "Eigenvalue comparisons for an impulsive boundary value problem with Sturm-Liouville boundary conditions." Huntington, WV : [Marshall University Libraries], 2004. http://www.marshall.edu/etd/descript.asp?ref=414.
Full textRaynor, Sarah Groff 1977. "Regularity of Neumann solutions to an elliptic free boundary problem." Thesis, Massachusetts Institute of Technology, 2003. http://hdl.handle.net/1721.1/29353.
Full textIncludes bibliographical references (p. 57-58).
We examine the regularity properties of solutions to an elliptic free boundary problem, near a Neumann fixed boundary. Consider a nonnegative function u which minimizes the functional ... on a bounded, convex domain ... This function u is harmonic in its positive phase and satisfies ... along the free boundary ... , in a weak sense. We prove various basic properties of such a minimizer near the portion of the boundary ... on which ... weakly. These results include up-to-the boundary gradient estimates on harmonic functions with Neumann boundary conditions on convex domains. The main result is that the minimizer u is Lipschitz continuous. The proof in dimension 2 is by means of conformal mapping as well as a simplified monotonicity formula. In higher dimensions, the proof is via a maximum principle estimate for ...
by Sarah Groff Raynor.
Ph.D.
Alsaedy, Ammar, and Nikolai Tarkhanov. "Normally solvable nonlinear boundary value problems." Universität Potsdam, 2013. http://opus.kobv.de/ubp/volltexte/2013/6507/.
Full textTamasan, Alexandru Cristian. "A two dimensional inverse boundary value problem in radiation transport /." Thesis, Connect to this title online; UW restricted, 2002. http://hdl.handle.net/1773/5752.
Full textZhang, Xin. "Étude qualitative des solutions du système de Navier-Stokes incompressible à densité variable." Thesis, Paris Est, 2017. http://www.theses.fr/2017PESC1215/document.
Full textThis thesis is dedicated to two different problems in the mathematical study of the viscous incompressible fluids: the persistence of tangential regularity and the motion of a free surface.The first problem concerns the study of the qualitative properties of some thermodynamical quantities in incompressible fluid models, such as the temperature for Boussinesq system with no diffusion and the density for the non-homogeneous Navier-Stokes system. Typically, we assume those two quantities to be initially piecewise constant along an interface with H"older regularity.As a consequence of stability of certain directional smoothness of the velocity field, we establish that the regularity of the interfaces persist globally with respect to time both in the two dimensional and higher dimensional cases (under some smallness condition). Our strategy is borrowed from the pioneering works by J.-Y.Chemin in 1990s on the vortex patch problem for ideal fluids.Let us emphasize that, apart from the directional regularity, we only impose rough (critical) regularity on the velocity field. The proof requires tools from para-differential calculus and multiplier space theory.In the last part of this thesis, we are concerned with the free boundary value problem for two-phase density-dependent Navier-Stokes system.This model is used to describe the motion of two immiscible liquids, like the oil and the water. Such mixture may occur in different situations, such as in a fixed bounded container, in a moving bounded droplet or in a river with finite depth. We establish the short time well-posedness for this problem. Our result strongly relies on the $L_p$-$L_q$ maximal regularity theoryfor parabolic equations
De, Silva Daniela. "Existence and regularity of monotone solutions to a free boundary problem." Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/31160.
Full textIncludes bibliographical references (p. 71-72).
In the first part of this dissertation, we provide the first example of a singular energy minimizing free boundary. This singular solution occurs in dimension 7 and higher, and in fact it is conjectured that there are no singular minimizers in dimension lower than 7. Our example is the analogue of the 8-dimensional Simons cone in the theory of minimal surfaces. The minimality of the Simons cone is closely related to the existence of a complete minimal graph in dimension 9, which is not a hyperplane. The first step toward solving the analogous problem in the free boundary context, consists in developing a local existence and regularity theory for monotone solutions to a free boundary problem. This is the objective of the second part of our thesis. We also provide a partial result in the global context..
by Daniela De Silva.
Ph.D.
Kamburov, Nikola (Nikola Angelov). "A free boundary problem inspired by a conjecture of De Giorgi." Thesis, Massachusetts Institute of Technology, 2012. http://hdl.handle.net/1721.1/73368.
Full textCataloged from PDF version of thesis.
Includes bibliographical references (p. 97-99).
We study global monotone solutions of the free boundary problem that arises from minimizing the energy functional I(u) = f lVul2 + V(U), where V(u) is the characteristic function of the interval (-1, 1). This functional is a close relative of the scalar Ginzburg-Landau functional J(u) = f lVul2 + W(u), where W(u) = (1 - u2 )2/2 is a standard double-well potential. According to a famous conjecture of De Giorgi, global critical points of J that are bounded and monotone in one direction have levell sets that are hyperplanes, at least up to dimension 8. Recently, Del Pino, Kowalczyk and Wei gave an intricate fixed-point-argument construction of a counterexample in dimension 9, whose level sets "follow" the entire minimal non-planar graph, built by Bombieri, De Giorgi and Giusti (BdGG). In this thesis, we turn to the free boundary variant of the problem and we construct the analogous example; the advantage here is that of geometric transparency as the interphase {lul < 1} will be contained within a unit-width band around the BdGG graph. Furthermore, we avoid the technicalities of Del Pino, Kowalczyk and Wei's fixed-point argument by using barriers only.
by Nikola Kamburov.
Ph.D.
Cossio, Jorge Ivan. "Multiple solutions for semilinear elliptic boundary value problems." Thesis, University of North Texas, 1991. https://digital.library.unt.edu/ark:/67531/metadc332487/.
Full textAryal, Ashok. "Geometry of mean value sets for general divergence form uniformly elliptic operators." Diss., Kansas State University, 2017. http://hdl.handle.net/2097/36205.
Full textDepartment of Mathematics
Ivan Blank
In the Fermi Lectures on the obstacle problem in 1998, Caffarelli gave a proof of the mean value theorem which extends to general divergence form uniformly elliptic operators. In the general setting, the result shows that for any such operator L and at any point [chi]₀ in the domain, there exists a nested family of sets { D[subscript]r([chi]₀) } where the average over any of those sets is related to the value of the function at [chi]₀. Although it is known that the { D[subscript]r([chi]₀) } are nested and are comparable to balls in the sense that there exists c, C depending only on L such that B[subscript]cr([chi]₀) ⊂ D[subscript]r([chi]₀) ⊂ B[subscript]Cr([chi]₀) for all r > 0 and [chi]₀ in the domain, otherwise their geometric and topological properties are largely unknown. In this work we begin the study of these topics and we prove a few results about the geometry of these sets and give a couple of applications of the theorems.
Windisch, G. "Exact discretizations of two-point boundary value problems." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800804.
Full textKaye, Adelina E. "Singular integration with applications to boundary value problems." Kansas State University, 2016. http://hdl.handle.net/2097/32717.
Full textMathematics
Nathan Albin
Pietro Poggi-Corradini
This report explores singular integration, both real and complex, focusing on the the Cauchy type integral, culminating in the proof of generalized Sokhotski-Plemelj formulae and the applications of such to a Riemann-Hilbert problem.
Tsaoussi, Lucia S. "A simulation study of the overdetermined geodetic boundary value problem using collocation /." The Ohio State University, 1989. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487670346877185.
Full textLombardini, Luca. "Minimization problems involving nonlocal functionals : nonlocal minimal surfaces and a free boundary problem." Thesis, Amiens, 2019. http://www.theses.fr/2019AMIE0003.
Full textThis doctoral thesis is devoted to the analysis of some minimization problems that involve nonlocal functionals. We are mainly concerned with the s-fractional perimeter and its minimizers, the s-minimal sets. We investigate the behavior of sets having finite fractional perimeter and we establish existence and compactness results for (locally) s-minimal sets. We study the s-minimal sets in highly nonlocal regimes, that correspond to small values of the fractional parameter s. We introduce a functional framework for studying those s-minimal sets that can be globally written as subgraphs. In particular, we prove existence and uniqueness results for minimizers of a fractional version of the classical area functional and we show the equivalence between minimizers and various notions of solution of the fractional mean curvature equation. We also prove a flatness result for entire nonlocal minimal graphs having some partial derivatives bounded from either above or below. Moreover, we consider a free boundary problem, which consists in the minimization of a functional defined as the sum of a nonlocal energy, plus the classical perimeter. Concerning this problem, we prove uniform energy estimates and we study the blow-up sequence of a minimizer, in particular establishing a Weiss-type monotonicity formula. In the last chapter of the thesis we provide a simple, but rigorous, mathematical model which describes the penguin parade in Phillip Island
Heitzman, Michael Thomas Chicone Carmen Charles. "A free boundary gas dynamic model as a two-body field theory problem." Diss., Columbia, Mo. : University of Missouri--Columbia, 2009. http://hdl.handle.net/10355/7017.
Full textBates, Dana Michelle. "On a free boundary problem for ideal, viscous and heat conducting gas flow." Diss., University of Iowa, 2016. https://ir.uiowa.edu/etd/2180.
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 textSchulze, Bert-Wolfgang, Vladimir Nazaikinskii, Boris Sternin, and Victor Shatalov. "Spectral boundary value problems and elliptic equations on singular manifolds." Universität Potsdam, 1997. http://opus.kobv.de/ubp/volltexte/2008/2514/.
Full textRachele, Lizabeth. "An inverse problem in elastodynamics /." Thesis, Connect to this title online; UW restricted, 1996. http://hdl.handle.net/1773/5735.
Full textSchreffler, Morgan F. "Approximation of Solutions to the Mixed Dirichlet-Neumann Boundary Value Problem on Lipschitz Domains." UKnowledge, 2017. http://uknowledge.uky.edu/math_etds/47.
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.
Claessens, Sten. "Solutions to ellipsoidal boundary value problems for gravity field modelling." Thesis, Curtin University, 2006. http://hdl.handle.net/20.500.11937/1637.
Full textClaessens, Sten. "Solutions to ellipsoidal boundary value problems for gravity field modelling." Curtin University of Technology, Department of Spatial Sciences, 2006. http://espace.library.curtin.edu.au:80/R/?func=dbin-jump-full&object_id=16850.
Full textSpecific applications of the new solutions are the computation of geopotential coefficients from terrestrial gravimetric data and local or regional gravimetric geoid determination. Numerical closed-loop simulations have shown that the accuracy of geopotential coefficients obtained with the new methods is significantly higher than the accuracy of existing methods that use the spherical harmonic framework. The ellipsoidal corrections to a Stokesian geoid determination computed from the new solutions show strong agreement with existing solutions. In addition, the importance of the choice of the reference sphere radius in Stokes's formula and its effect on the magnitude and spectral sensitivity of the ellipsoidal corrections are pointed out.
Zhao, 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.
Чмир, Оксана Юріївна. "THE FIRST BOUNDARY VALUE PROBLEM FOR PARABOLIC EQUATION IN THE CLASS OF GENERALIZED FUNCTIONS." Thesis, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, 2020. http://sci.ldubgd.edu.ua:8080/jspui/handle/123456789/7363.
Full textMay, Ute [Verfasser]. "Asymptotic estimates to a free boundary problem for the stationary Navier-Stokes equations / Ute May." Aachen : Hochschulbibliothek der Rheinisch-Westfälischen Technischen Hochschule Aachen, 2014. http://d-nb.info/1049821572/34.
Full textSavin, Anton Yu, and Boris Yu Sternin. "Index defects in the theory of nonlocal boundary value problems and the η-invariant." Universität Potsdam, 2001. http://opus.kobv.de/ubp/volltexte/2008/2614/.
Full textCroyle, Laura D. "Solutions to the Lp Mixed Boundary Value Problem in C1,1 Domains." UKnowledge, 2016. http://uknowledge.uky.edu/math_etds/38.
Full textMcDowall, Stephen R. "An electrodynamic inverse problem in chiral media /." Thesis, Connect to this title online; UW restricted, 1998. http://hdl.handle.net/1773/5768.
Full text