An Exponential Function Approach To Parabolic Equations
DOWNLOAD eBooks
Download An Exponential Function Approach To Parabolic Equations PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get An Exponential Function Approach To Parabolic Equations book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
An Exponential Function Approach To Parabolic Equations
DOWNLOAD eBooks
Author : Lin Chin-yuan
language : en
Publisher: World Scientific
Release Date : 2014-08-08
An Exponential Function Approach To Parabolic Equations written by Lin Chin-yuan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-08 with Mathematics categories.
This volume is on initial-boundary value problems for parabolic partial differential equations of second order. It rewrites the problems as abstract Cauchy problems or evolution equations, and then solves them by the technique of elementary difference equations. Because of this, the volume assumes less background and provides an easy approach for readers to understand.
Nonlinear Parabolic Equations And Hyperbolic Parabolic Coupled Systems
DOWNLOAD eBooks
Author : Songmu Zheng
language : en
Publisher: CRC Press
Release Date : 1995-08-08
Nonlinear Parabolic Equations And Hyperbolic Parabolic Coupled Systems written by Songmu Zheng and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-08-08 with Mathematics categories.
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.
Blow Up For Higher Order Parabolic Hyperbolic Dispersion And Schrodinger Equations
DOWNLOAD eBooks
Author : Victor A. Galaktionov
language : en
Publisher: CRC Press
Release Date : 2014-09-22
Blow Up For Higher Order Parabolic Hyperbolic Dispersion And Schrodinger Equations written by Victor A. Galaktionov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-22 with Mathematics categories.
Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrödinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear PDEs. The book first studies the particular self-similar singularity solutions (patterns) of the equations. This approach allows four different classes of nonlinear PDEs to be treated simultaneously to establish their striking common features. The book describes many properties of the equations and examines traditional questions of existence/nonexistence, uniqueness/nonuniqueness, global asymptotics, regularizations, shock-wave theory, and various blow-up singularities. Preparing readers for more advanced mathematical PDE analysis, the book demonstrates that quasilinear degenerate higher-order PDEs, even exotic and awkward ones, are not as daunting as they first appear. It also illustrates the deep features shared by several types of nonlinear PDEs and encourages readers to develop further this unifying PDE approach from other viewpoints.
Parabolic Equation Methods For Electromagnetic Wave Propagation
DOWNLOAD eBooks
Author : Mireille Levy
language : en
Publisher: IET
Release Date : 2000
Parabolic Equation Methods For Electromagnetic Wave Propagation written by Mireille Levy and has been published by IET this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
Provides scientists and engineers with a tool for accurate assessment of diffraction and ducting on radio and radar systems. The author gives the mathematical background to parabolic equations modeling and describes simple parabolic equation algorithms before progressing to more advanced topics such as domain truncation, the treatment of impedance boundaries, and the implementation of very fast hybrid methods combining ray-tracing and parabolic equation techniques. The last three chapters are devoted to scattering problems, with application to propagation in urban environments and to radar-cross- section computation. Annotation copyrighted by Book News, Inc., Portland, OR
Elliptic Parabolic Equations
DOWNLOAD eBooks
Author : Zhuoqun Wu
language : en
Publisher: World Scientific
Release Date : 2006
Elliptic Parabolic Equations written by Zhuoqun Wu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
This book provides an introduction to elliptic and parabolic equations. While there are numerous monographs focusing separately on each kind of equations, there are very few books treating these two kinds of equations in combination. This book presents the related basic theories and methods to enable readers to appreciate the commonalities between these two kinds of equations as well as contrast the similarities and differences between them.
Bloch Type Periodic Functions Theory And Applications To Evolution Equations
DOWNLOAD eBooks
Author : Yong-kui Chang
language : en
Publisher: World Scientific
Release Date : 2022-07-13
Bloch Type Periodic Functions Theory And Applications To Evolution Equations written by Yong-kui Chang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-13 with Mathematics categories.
This monograph aims to provide for the first time a unified and homogenous presentation of the recent works on the theory of Bloch periodic functions, their generalizations, and their applications to evolution equations. It is useful for graduate students and beginning researchers as seminar topics, graduate courses and reference text in pure and applied mathematics, physics, and engineering.
Differential Sheaves And Connections A Natural Approach To Physical Geometry
DOWNLOAD eBooks
Author : Mallios Anastasios
language : en
Publisher: World Scientific
Release Date : 2015-09-17
Differential Sheaves And Connections A Natural Approach To Physical Geometry written by Mallios Anastasios and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-17 with Mathematics categories.
This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the experienced researcher in undertaking a background-independent, natural and relational approach to 'physical geometry'. In this manner, this book is situated at the crossroads between the foundations of mathematical analysis with a view toward differential geometry and the foundations of theoretical physics with a view toward quantum mechanics and quantum gravity. The unifying thread is provided by the theory of adjoint functors in category theory and the elucidation of the concepts of sheaf theory and homological algebra in relation to the description and analysis of dynamically constituted physical geometric spectrums.
Functional Equations And Inequalities
DOWNLOAD eBooks
Author : John Michael Rassias
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017-03-20
Functional Equations And Inequalities written by John Michael Rassias and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-20 with categories.
This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the methods of solving functional equations, the growth of functional equations in the last four decades and an extensive reference list on fundamental research papers that investigate the stability results of different types of functional equations and functional inequalities. This volume starts by taking the reader from the fundamental ideas to higher levels of results that appear in recent research papers. Its step-by-step expositions are easy for the reader to understand and admire the elegant results and findings on the stability of functional equations. Request Inspection Copy
Evolution Equations
DOWNLOAD eBooks
Author : Kaïs Ammari
language : en
Publisher: Cambridge University Press
Release Date : 2018
Evolution Equations written by Kaïs Ammari and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
The proceedings of a summer school held in 2015 whose theme was long time behavior and control of evolution equations.
Second Order Parabolic Differential Equations
DOWNLOAD eBooks
Author : Gary M. Lieberman
language : en
Publisher: World Scientific
Release Date : 1996
Second Order Parabolic Differential Equations written by Gary M. Lieberman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
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.