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Author : Magnus Fontes
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (897 download)
Download or read book Initial-boundary Value Problems for Parabolic Equations written by Magnus Fontes and published by . This book was released on 1999 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Heinz-Otto Kreiss
Publisher : SIAM
ISBN 13 : 0898715652
Total Pages : 408 pages
Book Rating : 4.8/5 (987 download)
Download or read book Initial-Boundary Value Problems and the Navier-Stokes Equation written by Heinz-Otto Kreiss and published by SIAM. This book was released on 2004-01-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Initial-Boundary Value Problems and the Navier-Stokes Equations gives an introduction to the vast subject of initial and initial-boundary value problems for PDEs. Applications to parabolic and hyperbolic systems are emphasized in this text. The Navier-Stokes equations for compressible and incompressible flows are taken as an example to illustrate the results. The subjects addressed in the book, such as the well-posedness of initial-boundary value problems, are of frequent interest when PDEs are used in modeling or when they are solved numerically. The book explains the principles of these subjects. The reader will learn what well-posedness or ill-posedness means and how it can be demonstrated for concrete problems. Audience: when the book was written, the main intent was to write a text on initial-boundary value problems that was accessible to a rather wide audience. Functional analytical prerequisites were kept to a minimum or were developed in the book. Boundary conditions are analyzed without first proving trace theorems, and similar simplifications have been used throughout. This book continues to be useful to researchers and graduate students in applied mathematics and engineering.
Author : Samuil D. Eidelman
Publisher : Birkhäuser
ISBN 13 : 3034887671
Total Pages : 307 pages
Book Rating : 4.0/5 (348 download)
Download or read book Parabolic Boundary Value Problems written by Samuil D. Eidelman and published by Birkhäuser. This book was released on 2012-12-06 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present monograph is devoted to the theory of general parabolic boundary value problems. The vastness of this theory forced us to take difficult decisions in selecting the results to be presented and in determining the degree of detail needed to describe their proofs. In the first chapter we define the basic notions at the origin of the theory of parabolic boundary value problems and give various examples of illustrative and descriptive character. The main part of the monograph (Chapters II to V) is devoted to a the detailed and systematic exposition of the L -theory of parabolic 2 boundary value problems with smooth coefficients in Hilbert spaces of smooth functions and distributions of arbitrary finite order and with some natural appli cations of the theory. Wishing to make the monograph more informative, we included in Chapter VI a survey of results in the theory of the Cauchy problem and boundary value problems in the traditional spaces of smooth functions. We give no proofs; rather, we attempt to compare different results and techniques. Special attention is paid to a detailed analysis of examples illustrating and complementing the results for mulated. The chapter is written in such a way that the reader interested only in the results of the classical theory of the Cauchy problem and boundary value problems may concentrate on it alone, skipping the previous chapters.
Author : M. López Morales
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (897 download)
Download or read book On the Frist Initial Boundary Value Problem for Parabolic Equations written by M. López Morales and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David L. Colton
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (227 download)
Download or read book The Approximation of Solutions to Initial-Boundary Value Problems for Parabolic Equations in One Space Variable written by David L. Colton and published by . This book was released on 1974 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. C. Strikwerda
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.F/5 ( download)
Download or read book Initial Boundary Value Problems for Incompletely Parabolic Systems written by J. C. Strikwerda and published by . This book was released on 1976 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis deals with initial boundary value problems for incompletely parabolic systems of partial differential equations. Such systems can be described as a second order Petrovskii parabolic system and a first order hyperbolic system coupled together by terms with first order spatial derivatives. The dependent variables are then of either parabolic or hyperbolic type. Examples are the equations for couple sound and heat flow and the viscous shallow water equations.
Author : Wojciech M. Zajączkowski
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.3/5 (121 download)
Download or read book On an Initial-boundary Value Problem for the Parabolic System which Appears in Free Boundary Problems for Compressible Navier-Stokes Equations written by Wojciech M. Zajączkowski and published by . This book was released on 1990 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Guochun Wen
Publisher :
ISBN 13 : 9787030091277
Total Pages : 238 pages
Book Rating : 4.0/5 (912 download)
Download or read book Initial-boundary Value Problems for Nonlinear Parabolic Equations in Higher Dimensional Domains written by Guochun Wen and published by . This book was released on 2002 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : C.V. Pao
Publisher : Springer Science & Business Media
ISBN 13 : 1461530342
Total Pages : 786 pages
Book Rating : 4.4/5 (615 download)
Download or read book Nonlinear Parabolic and Elliptic Equations written by C.V. Pao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: In response to the growing use of reaction diffusion problems in many fields, this monograph gives a systematic treatment of a class of nonlinear parabolic and elliptic differential equations and their applications these problems. It is an important reference for mathematicians and engineers, as well as a practical text for graduate students.
Author : Martín López Morales
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (354 download)
Download or read book On the First Initial Boundary Value Problem for Parabolic Equations written by Martín López Morales and published by . This book was released on 1990 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Olʹga A. Ladyženskaja
Publisher : American Mathematical Soc.
ISBN 13 : 9780821815731
Total Pages : 74 pages
Book Rating : 4.8/5 (157 download)
Download or read book Linear and Quasi-linear Equations of Parabolic Type written by Olʹga A. Ladyženskaja and published by American Mathematical Soc.. This book was released on 1988 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equations of parabolic type are encountered in many areas of mathematics and mathematical physics, and those encountered most frequently are linear and quasi-linear parabolic equations of the second order. In this volume, boundary value problems for such equations are studied from two points of view: solvability, unique or otherwise, and the effect of smoothness properties of the functions entering the initial and boundary conditions on the smoothness of the solutions.
Author : Mingxin Wang
Publisher : CRC Press
ISBN 13 : 1000353915
Total Pages : 298 pages
Book Rating : 4.0/5 (3 download)
Download or read book Nonlinear Second Order Parabolic Equations written by Mingxin Wang and published by CRC Press. This book was released on 2021-05-12 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The parabolic partial differential equations model one of the most important processes in the real-world: diffusion. Whether it is the diffusion of energy in space-time, the diffusion of species in ecology, the diffusion of chemicals in biochemical processes, or the diffusion of information in social networks, diffusion processes are ubiquitous and crucial in the physical and natural world as well as our everyday lives. This book is self-contained and covers key topics such as the Lp theory and Schauder theory, maximum principle, comparison principle, regularity and uniform estimates, initial-boundary value problems of semilinear parabolic scalar equations and weakly coupled parabolic systems, the upper and lower solutions method, monotone properties and long-time behaviours of solutions, convergence of solutions and stability of equilibrium solutions, global solutions and finite time blowup. It also touches on periodic boundary value problems, free boundary problems, and semigroup theory. The book covers major theories and methods of the field, including topics that are useful but hard to find elsewhere. This book is based on tried and tested teaching materials used at the Harbin Institute of Technology over the past ten years. Special care was taken to make the book suitable for classroom teaching as well as for self-study among graduate students. About the Author: Mingxin Wang is Professor of Mathematics at Harbin Institute of Technology, China. He has published ten monographs and textbooks and 260 papers. He is also a supervisor of 30 PhD students.
Author : Gary M. Lieberman
Publisher :
ISBN 13 :
Total Pages : 53 pages
Book Rating : 4.:/5 (217 download)
Download or read book The First Initial-boundary Value Problem for Quasilinear Second Order Parabolic Equations written by Gary M. Lieberman and published by . This book was released on 1984 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Guo Chun Wen
Publisher : World Scientific
ISBN 13 : 9814495034
Total Pages : 257 pages
Book Rating : 4.8/5 (144 download)
Download or read book Linear And Nonlinear Parabolic Complex Equations written by Guo Chun Wen and published by World Scientific. This book was released on 1999-04-29 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals mainly with linear and nonlinear parabolic equations and systems of second order. It first transforms the real forms of parabolic equations and systems into complex forms, and then discusses several initial boundary value problems and Cauchy problems for quasilinear and nonlinear parabolic complex equations of second order with smooth coefficients or measurable coefficients. Parabolic complex equations are discussed in the nonlinear case and the boundary conditions usually include the initial irregular oblique derivative. The boundary value problems are considered in multiply connected domains and several methods are used.
Author : Donald Greenspan
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (227 download)
Download or read book Approximate Solution of Initial-boundary Parabolic Problems by Boundary Value Techniques written by Donald Greenspan and published by . This book was released on 1967 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: A simple, fast numerical boundary value technique is developed for classes of initial-boundary value problems for mildly nonlinear parabolic equations. The method is based on finite difference methods, avoids stability problems, and is applied to several interesting equations, including a nonhomogeneous Burgers equation. (Author).
Author : M. López Morales
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (897 download)
Download or read book On the Solvability of the First Initial Boundary Value Problem for Parabolic Equations written by M. López Morales and published by . This book was released on 1993 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Songmu Zheng
Publisher : CRC Press
ISBN 13 : 149874964X
Total Pages : 269 pages
Book Rating : 4.4/5 (987 download)
Download or read book Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems written by Songmu Zheng and published by CRC Press. This book was released on 2020-05-05 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the global existence, uniqueness and asymptotic behaviour of smooth solutions to both initial value problems and initial boundary value problems for nonlinear parabolic equations and hyperbolic parabolic coupled systems. Most of the material is based on recent research carried out by the author and his collaborators. The book can be divided into two parts. In the first part, the results on decay of solutions to nonlinear parabolic equations and hyperbolic parabolic coupled systems are obtained, and a chapter is devoted to the global existence of small smooth solutions to fully nonlinear parabolic equations and quasilinear hyperbolic parabolic coupled systems. Applications of the results to nonlinear thermoelasticity and fluid dynamics are also shown. Some nonlinear parabolic equations and coupled systems arising from the study of phase transitions are investigated in the second part of the book. The global existence, uniqueness and asymptotic behaviour of smooth solutions with arbitrary initial data are obtained. The final chapter is further devoted to related topics: multiplicity of equilibria and the existence of a global attractor, inertial manifold and inertial set. A knowledge of partial differential equations and Sobolev spaces is assumed. As an aid to the reader, the related concepts and results are collected and the relevant references given in the first chapter. The work will be of interest to researchers and graduate students in pure and applied mathematics, mathematical physics and applied sciences.
