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Chapman and Hall/CRC Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems: 76 (Monographs and Surveys in Pure and Applied Mathematics)

Name: Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems: 76 (Monographs and Surveys in Pure and Applied Mathematics)
Brand: Chapman and Hall/CRC

Algebra

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Product Description 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 firstchapter. The work will be of interest to researchers and graduate students in pure and applied mathematics, mathematical physics and applied sciences. About the Author Zheng, Songmu

Product Specifications

Brand: Chapman and Hall/CRC
Format: hardcover
ASIN: 0582244889
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 29 November 2019
Listed Since: 14 December 2006

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Chapman and Hall/CRC Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems: 76 (Monographs and Surveys in Pure and Applied Mathematics)

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