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The First Initial Boundary Value Problem For Quasilinear Second Order Parabolic Equations
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Book Synopsis The First Initial-boundary Value Problem for Quasilinear Second Order Parabolic Equations by : Gary M. Lieberman
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:
Book Synopsis Linear And Nonlinear Parabolic Complex Equations by : Guo Chun Wen
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.
Book Synopsis Nonlinear Parabolic and Elliptic Equations by : C.V. Pao
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.
Book Synopsis Linear and Quasi-linear Equations of Parabolic Type by : Olʹga A. Ladyženskaja
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.
Book Synopsis A Boundary Value Problem for Quasilinear Degenerate Parabolic Equations by : Zhuogun Wu
Download or read book A Boundary Value Problem for Quasilinear Degenerate Parabolic Equations written by Zhuogun Wu and published by . This book was released on 1983 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the theory of functions of bounded variation, Vol'pert and Hudjaev successfully treated the initial-value problem for a class of degenerate parabolic equations in one space dimension. Of particular interest was their ability to incorporate even the completely degenerate case of a scalar conservation law in the class they treated. The author subsequently treated the first boundary value problem in a similar spirit and generality. The current work shows that analogous results can be obtained for other boundary conditions. As before, regularizatio is used to obtain existence results for approximate problems. New estimates are obtained on the approximations which allow passage to the limit.
Book Synopsis Boundary Value Problems and Free Boundary Problems for Quasilinear Hyperbolic-Parabolic Coupled Systems by : Ta-tsien Li
Download or read book Boundary Value Problems and Free Boundary Problems for Quasilinear Hyperbolic-Parabolic Coupled Systems written by Ta-tsien Li and published by . This book was released on 1981 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many applications one meets systems of differential equations which consist of first-order hyperbolic and second-order parabolic subsystems which are nonlinearly coupled. These arise, for instance, in the modeling of motion of a compressible, viscous heat conducting fluid, in radiation hydrodynamics, and in the theory of motion of viscoelastic materials. The relevant equations are presented. The results of this work are local time existence and uniqueness theorems for initial-boundary value problems, including cases with free boundaries, for such systems. The results given are for the case of one space dimension. The methods used involve introducing appropriate variables, the method of iteration, a priori estimation and fixed point theorems.
Book Synopsis Partial Differential Equations in China by : Chaohao Gu
Download or read book Partial Differential Equations in China written by Chaohao Gu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past few years there has been a fruitful exchange of expertise on the subject of partial differential equations (PDEs) between mathematicians from the People's Republic of China and the rest of the world. The goal of this collection of papers is to summarize and introduce the historical progress of the development of PDEs in China from the 1950s to the 1980s. The results presented here were mainly published before the 1980s, but, having been printed in the Chinese language, have not reached the wider audience they deserve. Topics covered include, among others, nonlinear hyperbolic equations, nonlinear elliptic equations, nonlinear parabolic equations, mixed equations, free boundary problems, minimal surfaces in Riemannian manifolds, microlocal analysis and solitons. For mathematicians and physicists interested in the historical development of PDEs in the People's Republic of China.
Book Synopsis Nonlinear Partial Differential Equations of Second Order by : Guang Chang Dong
Download or read book Nonlinear Partial Differential Equations of Second Order written by Guang Chang Dong and published by American Mathematical Soc.. This book was released on 1991-11-15 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first boundary value problem for second-order quasilinear parabolic equations with principal part in divergence form A periodic boundary value problem for a nonlinear telegraph equation The initial value problem for a nonlinear Schrodinger equation Multi-dimensional subsonic flows around an obstacle The initial-boundary value problem for degenerate quasilinear parabolic equations The speed of propagation of the solution of a degenerate quasilinear parabolic equation Aleksandrov and Bony maximum principles for parabolic equations The density theorem and its applications Fully nonlinear parabolic equations Fully nonlinear parabolic equations (continued) Symbols References
Book Synopsis Second Order Parabolic Differential Equations by : Gary M. Lieberman
Download or read book Second Order Parabolic Differential Equations written by Gary M. Lieberman and published by World Scientific. This book was released on 1996 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction. Maximum principles. Introduction to the theory of weak solutions. Hölder estimates. Existence, uniqueness, and regularity of solutions. Further theory of weak solutions. Strong solutions. Fixed point theorems and their applications. Comparison and maximum principles. Boundary gradient estimates. Global and local gradient bounds. Hölder gradient estimates and existence theorems. The oblique derivative problem for quasilinear parabolic equations. Fully nonlinear equations. Introduction. Monge-Ampère and Hessian equations.
Book Synopsis Initial Boundary Value Problems for Incompletely Parabolic Systems by : J. C. Strikwerda
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.
Book Synopsis Linear and Nonlinear Parabolic Complex Equations by : Guo Chun Wen
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 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is a very interesting book written by a well-known expert on complex methods in partial differential equations. It contains many recent results, many of them published for the first time, some published originally in Chinese".Mathematical Reviews
Book Synopsis Partial Differential Equations by : Lipman Bers
Download or read book Partial Differential Equations written by Lipman Bers and published by American Mathematical Soc.. This book was released on 1964-12-31 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of two main parts. The first part, "Hyperbolic and Parabolic Equations", written by F. John, contains a well-chosen assortment of material intended to give an understanding of some problems and techniques involving hyperbolic and parabolic equations. The emphasis is on illustrating the subject without attempting to survey it. The point of view is classical, and this serves well in furnishing insight into the subject; it also makes it possible for the lectures to be read by someone familiar with only the fundamentals of real and complex analysis. The second part, "Elliptic Equations", written by L. Bers and M. Schechter, contains a very readable account of the results and methods of the theory of linear elliptic equations, including the maximum principle, Hilbert-space methods, and potential-theoretic methods. It also contains a brief discussion of some quasi-linear elliptic equations. The book is suitable for graduate students and researchers interested in partial differential equations.
Book Synopsis Pointwise Bounds for Solutions of the Second Initial-boundary Value Problem for Parabolic Equations by : V. G. Sigillito
Download or read book Pointwise Bounds for Solutions of the Second Initial-boundary Value Problem for Parabolic Equations written by V. G. Sigillito and published by . This book was released on 1965 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extension is given of the method to obtain pointwise bounds for the solutions of the first initial-boundary value problem for a semilinear parabolic equation. A method is given for obtaining interior pointwise bounds for solutions of the second initial-boundary value problem. The bounds obtained are in terms of L(2) integrals of the initial-boundary data; thus close bounds may be obtained, in the linear case, by applying the Rayleigh-Ritz Technique. The approximating functions used in the procedure need not satisfy either the differential equation or the initial-boundary data but only certain regularity conditions. (Author).
Book Synopsis General Initial and Nonlinear Boundary Value Problems for Fully Nonlinear Parabolic Equations of Second Order by : Wen Guo-Chun
Download or read book General Initial and Nonlinear Boundary Value Problems for Fully Nonlinear Parabolic Equations of Second Order written by Wen Guo-Chun and published by . This book was released on 1992 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Initial-Boundary Value Problems and the Navier-Stokes Equation by : Heinz-Otto Kreiss
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.
Book Synopsis Exact Finite-Difference Schemes by : Sergey Lemeshevsky
Download or read book Exact Finite-Difference Schemes written by Sergey Lemeshevsky and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-09-26 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exact Finite-Difference Schemes is a first overview of the topic also describing the state-of-the-art in this field of numerical analysis. Construction of exact difference schemes for various parabolic and elliptic partial differential equations are discussed, including vibrations and transport problems. After this, applications are discussed, such as the discretisation of ODEs and PDEs and numerical methods for stochastic differential equations. Contents: Basic notation Preliminary results Hyperbolic equations Parabolic equations Use of exact difference schemes to construct NSFD discretizations of differential equations Exact and truncated difference schemes for boundary-value problem Exact difference schemes for stochastic differential equations Numerical blow-up time Bibliography
Book Synopsis Second Order Parabolic Equations with Venttsel Initial Boundary Conditions and Their Equations by : Yi Zeng
Download or read book Second Order Parabolic Equations with Venttsel Initial Boundary Conditions and Their Equations written by Yi Zeng and published by . This book was released on 1993 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
