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Dissertations / Theses on the topic 'Boundary value problem of thermoelasticity'

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Published: 5 June 2025

Last updated: 16 July 2025

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1

Fernando, Chathuri [Verfasser]. "Optimal Control of Free Boundary Value Problems in Thermoelasticity / Chathuri Fernando." München : Verlag Dr. Hut, 2018. http://d-nb.info/1164294075/34.

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2

Jentsch, Lothar, and David Natroshvili. "Three-dimensional mathematical Problems of thermoelasticity of anisotropic Bodies." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800967.

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CHAPTER I. Basic Equations. Fundamental Matrices. Thermo-Radiation Conditions 1. Basic differential equations of thermoelasticity theory 2. Fundamental matrices 3. Thermo-radiating conditions. Somigliana type integral representations CHAPTER II. Formulation of Boundary Value and Interface Problems 4. Functional spaces 5. Formulation of basic and mixed BVPs 6. Formulation of crack type problems 7. Formulation of basic and mixed interface problems CHAPTER III. Uniqueness Theorems 8. Uniqueness theorems in pseudo-oscillation problems 9. Uniqueness theorems in steady state oscillation problems

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3

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.

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4

Bondarenko, Oleksandr. "Optimal Control for an Impedance Boundary Value Problem." Thesis, Virginia Tech, 2010. http://hdl.handle.net/10919/36136.

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We consider the analysis of the scattering problem. Assume that an incoming time harmonic wave is scattered by a surface of an impenetrable obstacle. The reflected wave is determined by the surface impedance of the obstacle. In this paper we will investigate the problem of choosing the surface impedance so that a desired scattering amplitude is achieved. We formulate this control problem within the framework of the minimization of a Tikhonov functional. In particular, questions of the existence of an optimal solution and the derivation of the optimality conditions will be addressed.<br>Master

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5

Harutjunjan, 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/.

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We study mixed boundary value problems for an elliptic operator A on a manifold X with boundary Y<br>i.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 t

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6

Mbiock, Aristide. "Radiative heat transfer in furnaces : elliptic boundary value problem." Rouen, 1997. http://www.theses.fr/1997ROUEA002.

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7

Forgoston, Eric T. "Initial-Value Problem for Perturbations in Compressible Boundary Layers." Diss., The University of Arizona, 2006. http://hdl.handle.net/10150/195810.

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An initial-value problem is formulated for a three-dimensional perturbation in a compressible boundary layer flow. The problem is solved using a Laplace transform with respect to time and Fourier transforms with respect to the streamwise and spanwise coordinates. The solution can be presented as a sum of modes consisting of continuous and discrete spectra of temporal stability theory. Two discrete modes, known as Mode S and Mode F, are of interest in high-speed flows since they may be involved in a laminar-turbulent transition scenario. The continuous and discrete spectrum are analyzed num

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8

Wintz, 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.

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9

Alsaedy, Ammar, and Nikolai Tarkhanov. "Normally solvable nonlinear boundary value problems." Universität Potsdam, 2013. http://opus.kobv.de/ubp/volltexte/2013/6507/.

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We study a boundary value problem for an overdetermined elliptic system of nonlinear first order differential equations with linear boundary operators. Such a problem is solvable for a small set of data, and so we pass to its variational formulation which consists in minimising the discrepancy. The Euler-Lagrange equations for the variational problem are far-reaching analogues of the classical Laplace equation. Within the framework of Euler-Lagrange equations we specify an operator on the boundary whose zero set consists precisely of those boundary data for which the initial problem is solvabl

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10

Tamasan, 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.

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11

Stamic̆ar, Robert Nikola. "A free boundary problem modelling zoning in rocks /." *McMaster only, 1998.

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12

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/.

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In this paper results concerning a semilinear elliptic boundary value problem are proven. This problem has five solutions when the range of the derivative of the nonlinearity ƒ includes the first two eigenvalues. The existence and multiplicity or radially symmetric solutions under suitable conditions on the nonlinearity when Ω is a ball in R^N.

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13

Windisch, G. "Exact discretizations of two-point boundary value problems." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800804.

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In the paper we construct exact three-point discretizations of linear and nonlinear two-point boundary value problems with boundary conditions of the first kind. The finite element approach uses basis functions defined by the coefficients of the differential equations. All the discretized boundary value problems are of inverse isotone type and so are its exact discretizations which involve tridiagonal M-matrices in the linear case and M-functions in the nonlinear case.

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14

Kaye, Adelina E. "Singular integration with applications to boundary value problems." Kansas State University, 2016. http://hdl.handle.net/2097/32717.

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Master of Science<br>Mathematics<br>Nathan Albin<br>Pietro Poggi-Corradini<br>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.

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15

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.

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16

Li, Shenghao. "Non-homogeneous Boundary Value Problems for Boussinesq-type Equations." University of Cincinnati / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1468512590.

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17

Schulze, 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/.

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For elliptic operators on manifolds with boundary, we define spectral boundary value problems, which generalize the Atiyah-Patodi-Singer problem to the case of nonhomogeneous boundary conditions, operators of arbitrary order, and nonself-adjoint conormal symbols. The Fredholm property is proved and equivalence with certain elliptic equations on manifolds with conical singularities is established.

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18

Rachele, Lizabeth. "An inverse problem in elastodynamics /." Thesis, Connect to this title online; UW restricted, 1996. http://hdl.handle.net/1773/5735.

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19

Schreffler, 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.

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We show that solutions to the mixed problem on a Lipschitz domain Ω can be approximated in the Sobolev space H1(Ω) by solutions to a family of related mixed Dirichlet-Robin boundary value problems which converge in H1(Ω), and we give a rate of convergence. Further, we propose a method of solving the related problem using layer potentials.

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20

Ran, Yu. "Nonhomogeneous Initial Boundary Value Problems for Two-Dimensional Nonlinear Schrodinger Equations." Diss., Virginia Tech, 2014. http://hdl.handle.net/10919/47930.

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The dissertation focuses on the initial boundary value problems (IBVPs) of a class of nonlinear Schrodinger equations posed on a half plane R x R+ and on a strip domain R x [0,L] with Dirichlet nonhomogeneous boundary data in a two-dimensional plane. Compared with pure initial value problems (IVPs), IBVPs over part of entire space with boundaries are more applicable to the reality and can provide more accurate data to physical experiments or practical problems. Although there is less research that has been made for IBVPs than that for IVPs, more attention has been paid for IBVPs recently. In p

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21

Claessens, Sten. "Solutions to ellipsoidal boundary value problems for gravity field modelling." Thesis, Curtin University, 2006. http://hdl.handle.net/20.500.11937/1637.

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The determination of the figure of the Earth and its gravity field has long relied on methodologies that approximate the Earth by a sphere, but this level of accuracy is no longer adequate for many applications, due to the advent of new and advanced measurement techniques. New, practical and highly accurate methodologies for gravity field modelling that describe the Earth as an oblate ellipsoid of revolution are therefore required. The foundation for these methodologies is formed by solutions to ellipsoidal geodetic boundary-value problems. In this thesis, new solutions to the ellipsoidal Diri

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22

Claessens, 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.

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The determination of the figure of the Earth and its gravity field has long relied on methodologies that approximate the Earth by a sphere, but this level of accuracy is no longer adequate for many applications, due to the advent of new and advanced measurement techniques. New, practical and highly accurate methodologies for gravity field modelling that describe the Earth as an oblate ellipsoid of revolution are therefore required. The foundation for these methodologies is formed by solutions to ellipsoidal geodetic boundary-value problems. In this thesis, new solutions to the ellipsoidal Diri

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23

Zhao, Kun. "Initial-boundary value problems in fluid dynamics modeling." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/31778.

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Thesis (Ph.D)--Mathematics, Georgia Institute of Technology, 2010.<br>Committee 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.

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24

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.

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25

KHOLBOEV, BOKHODIR. "Boundary value problem for PDEs and some clases of L^p bounded pseudodifferential operators." Doctoral thesis, Politecnico di Torino, 2014. http://hdl.handle.net/11583/2535694.

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In recent years much attention has been extended in the study of differential equations of non-classical types. These articles need, on one hand, fluid mechanics, hydro-and gas dynamics and other applied disciplines, and on the other hand, the actual needs of the mathematical sciences. One of the most important classes of equations of non-classical type is the third-order equation with multiple characteristics which is a generalization of linear Korteweg-de Vries-Burgers equation, special cases which occur in the dissemination of waves in weakly dispersive media, the propagation of waves in a

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26

Croyle, Laura D. "Solutions to the L^p Mixed Boundary Value Problem in C^1,1 Domains." UKnowledge, 2016. http://uknowledge.uky.edu/math_etds/38.

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We look at the mixed boundary value problem for elliptic operators in a bounded C1,1(ℝn) domain. The boundary is decomposed into disjoint parts, D and N, with Dirichlet and Neumann data, respectively. Expanding on work done by Ott and Brown, we find a larger range of values of p, 1 < p < n/(n-1), for which the Lp mixed problem has a unique solution with the non-tangential maximal function of the gradient in Lp(∂Ω).

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27

Savin, Anton Yu, та 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/.

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The paper deals with elliptic theory on manifolds with boundary represented as a covering space. We compute the index for a class of nonlocal boundary value problems. For a nontrivial covering, the index defect of the Atiyah-Patodi-Singer boundary value problem is computed. We obtain the Poincaré duality in the K-theory of the corresponding manifolds with singularities.

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28

McDowall, Stephen R. "An electrodynamic inverse problem in chiral media /." Thesis, Connect to this title online; UW restricted, 1998. http://hdl.handle.net/1773/5768.

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29

Novák, Pavel. "Evaluation of gravity data for the Stokes-Helmert solution to the geodetic boundary-value problem." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq62175.pdf.

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30

Shi, Qiang. "Sharp estimates of the transmission boundary value problem for dirac operators on non-smooth domains." Diss., Columbia, Mo. : University of Missouri-Columbia, 2006. http://hdl.handle.net/10355/4358.

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Thesis (Ph.D.)--University of Missouri-Columbia, 2006.<br>The 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 (May 1, 2007) Vita. Includes bibliographical references.

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31

Pavel, Novák. "Evaluation of gravity data for the Stokes-Helmert solution to the geodetic boundary-value problem." Thesis, University of New Brunswick, 2000. http://hdl.handle.net/1882/387.

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32

Kaulakytė, Kristina. "Nonhomogeneous boundary value problem for the stationary Navier-Stokes system in domains with noncompact boundaries." Doctoral thesis, Lithuanian Academic Libraries Network (LABT), 2013. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2013~D_20130124_081640-17274.

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In the thesis there is studied nonhomogenous boundary value problem for the stationary Navier-Stokes system in domains which may have two types of outlets to infinity: paraboloidal and layer type. The boundary is multiply connected. It consists of connected noncompact components, forming the outer boundary, and connected compact components, forming the inner boundary. We suppose that the fluxes over the components of the inner boundary are sufficiently small, while we do not impose any restrictions on fluxes over the infinite components of the outer boundary. We prove that the formulated probl

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33

Gillies, 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.

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34

Krietenstein, Thorben [Verfasser], and Elmar [Akademischer Betreuer] Schrohe. "Bounded H∞-calculus for a degenerate elliptic boundary value problem / Thorben Krietenstein ; Betreuer: Elmar Schrohe." Hannover : Gottfried Wilhelm Leibniz Universität Hannover, 2019. http://d-nb.info/1204458901/34.

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35

Makhmudov, Olimdjan, and Nikolai Tarkhanov. "The first mixed problem for the nonstationary Lamé system." Universität Potsdam, 2014. http://opus.kobv.de/ubp/volltexte/2014/7192/.

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36

Antoniouk, Alexandra, Oleg Kiselev, Vitaly Stepanenko, and Nikolai Tarkhanov. "Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point." Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2012/6198/.

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The Dirichlet problem for the heat equation in a bounded domain is characteristic, for there are boundary points at which the boundary touches a characteristic hyperplane t = c, c being a constant. It was I.G. Petrovskii (1934) who first found necessary and sufficient conditions on the boundary which guarantee that the solution is continuous up to the characteristic point, provided that the Dirichlet data are continuous. This paper initiated standing interest in studying general boundary value problems for parabolic equations in bounded domains. We contribute to the study by constructing a for

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37

Awala, Hussein. "SINGULAR INTEGRAL OPERATORS ASSOCIATED WITH ELLIPTIC BOUNDARY VALUE PROBLEMS IN NON-SMOOTH DOMAINS." Diss., Temple University Libraries, 2017. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/453799.

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Mathematics<br>Ph.D.<br>Many boundary value problems of mathematical physics are modelled by elliptic differential operators L in a given domain Ω . An effective method for treating such problems is the method of layer potentials, whose essence resides in reducing matters to solving a boundary integral equation. This, in turn, requires inverting a singular integral operator, naturally associated with L and Ω, on appropriate function spaces on ƌΩ. When the operator L is of second order and the domain Ω is Lipschitz (i.e., Ω is locally the upper-graph of a Lipschitz function) the fundame

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38

Hill, Tony. "Mellin and Wiener-Hopf operators in a non-classical boundary value problem describing a Levy process." Thesis, King's College London (University of London), 2017. https://kclpure.kcl.ac.uk/portal/en/theses/mellin-and-wienerhopf-operators-in-a-nonclassical-boundary-value-problem-describing-a-levy-process(2d1c9b67-cfe9-4eb8-9fda-edc5ac828995).html.

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This research, into non-classical boundary value problems, is motivated by the study of stochastic processes, restricted to a domain, that can have discontinuous trajectories. We demonstrate that the singularities, for example delta functions, that might be expected at the boundary, can be mitigated, using current probability theory, by what amounts to the inclusion of a carefully chosen potential. To make this general problem more tractable, we consider a particular operator, A, which is chosen to be the generator of a certain stable Levy process restricted to the positive half-line. We are a

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39

Zhang, Lizhi. "The Painlevé property and nonintegrability; The Dirichlet Boundary Value Problem for Complex Monge-Ampére Type Equation." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1313540635.

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40

Стефанюк, О. П. "Крайова задача з нелокальними умовами другого роду для гіперболічного рівняння зі змінними коефіцієнтами". Thesis, Cумський державний університет, 2016. http://essuir.sumdu.edu.ua/handle/123456789/46726.

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41

Orey, Maria de Serpa Salema Reis de. "Factorization of elliptic boundary value problems by invariant embedding and application to overdetermined problems." Doctoral thesis, Faculdade de Ciências e Tecnologia, 2011. http://hdl.handle.net/10362/8677.

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Dissertação para obtenção do Grau de Doutor em Matemática<br>The purpose of this thesis is the factorization of elliptic boundary value problems defined in cylindrical domains, in a system of decoupled first order initial value problems. We begin with the Poisson equation with mixed boundary conditions, and use the method of invariant embedding: we embed our initial problem in a family of similar problems, defined in sub-domains of the initial domain, with a moving boundary, and an additional condition in the moving boundary. This factorization is inspired by the technique of invariant tempor

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42

Göbel, Dieter. "Viskositätsapproximationen und schwache Lösungen für das System der eindimensionalen nichtlinearen Elastizitätsgleichungen." Bonn : [s.n.], 1993. http://catalog.hathitrust.org/api/volumes/oclc/31445619.html.

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43

Sfecci, Andrea. "Some existence results for boundary value problems : a promenade along resonance." Doctoral thesis, SISSA, 2012. http://hdl.handle.net/20.500.11767/4703.

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I present many existence result to many boundary value problems, in particular periodic problems and Neumann elliptic problems. The results use the method of the topological degree theory. In the thesis different problems are treated: planar systems, systems with a singularity, impact oscillators, coupled oscillators and radial elliptic problems.

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44

GIORGIERI, ELENA. "A boundary value problem for a PDE model in mass transfer theory: representations of solutions and regularity results." Doctoral thesis, Università degli Studi di Roma "Tor Vergata", 2006. http://hdl.handle.net/2108/211.

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45

Bhim, Louis. "Polynomial Bounds for Solutions to Boundary Value and Obstacle Problems with Applications to Financial Derivative Pricing." Thesis, The University of Sydney, 2017. http://hdl.handle.net/2123/16509.

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This thesis introduces a new approach for obtaining smooth deterministic upper bounds for the solutions to bounded domain obstacle problems. These bounding functions are characterized by sufficient bounding conditions, under which the bounds may be optimized. These bounds are obtained by expressing the solution function as the solution to an optimization problem that is then formulated as computationally tractable semidefinite programming problem. In a single implementation, the proposed approach obtains explicit bounds in the form of piecewise polynomial functions, which bound the solution f

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46

Почкун, Є. Ю., Андрій Віталійович Дейнека, Андрей Витальевич Дейнека та Andrii Vitaliiovych Deineka. "Метод сплайн-проксимації в крайових задачах статики багатошарових циліндричних оболонок". Thesis, Сумський державний університет, 2016. http://essuir.sumdu.edu.ua/handle/123456789/47028.

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На основі класичної теорії пружності анізотропного тіла досліджується напружено-деформований стан багатошарових циліндричних оболонок кінцевої довжини при дії внутрішнього і зовнішнього тиску і температурних навантажень. Для цього розв’язується двовимірна термопружна задача. Вважається, що температурне навантаження і заданий по лицьовим поверхням тиск вісесиметричний відносно поздовжньої осі циліндра. При цьому інтенсивність тиску змінюється вздовж меридіану і залежить від координати z.

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47

Rodolfo, Karl. "A Comparative Study of American Option Valuation and Computation." Thesis, The University of Sydney, 2007. http://hdl.handle.net/2123/2063.

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For 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 t

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48

Rodolfo, Karl. "A Comparative Study of American Option Valuation and Computation." Science. School of Mathematics and Statistics, 2007. http://hdl.handle.net/2123/2063.

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Doctor of Philosophy (PhD)<br>For 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 a

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49

Kawagoe, Daisuke. "Regularity of solutions to the stationary transport equation with the incoming boundary data." Kyoto University, 2018. http://hdl.handle.net/2433/232413.

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50

Lang, Holger. "The difference of the solutions of the elastic and elastoplastic boundary value problem and an approach to multiaxial stress-strain correction." [S.l.] : [s.n.], 2007. http://deposit.ddb.de/cgi-bin/dokserv?idn=986004731.

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