Nonlinear Parabolic Equations and Hyperbolic Parabolic Coupled Systems is popular PDF and ePub book, written by Songmu Zheng in 2020-05-05, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Nonlinear Parabolic Equations and Hyperbolic Parabolic Coupled Systems can be Read Online from any device for your convenience.
Nonlinear Parabolic Equations and Hyperbolic Parabolic Coupled Systems Book PDF Summary
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.
Detail Book of Nonlinear Parabolic Equations and Hyperbolic Parabolic Coupled Systems PDF
- Author : Songmu Zheng
- Release : 05 May 2020
- Publisher : CRC Press
- ISBN : 9781498749640
- Genre : Mathematics
- Total Page : 269 pages
- Language : English
- PDF File Size : 13,8 Mb
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