Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems write by Songmu Zheng. This book was released on 2020-05-05. Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems available in PDF, EPUB and Kindle. 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.
Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems
Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems write by Yuming Qin. This book was released on 2012-02-28. Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems available in PDF, EPUB and Kindle. This book presents recent results on nonlinear parabolic-hyperbolic coupled systems such as the compressible Navier-Stokes equations, and liquid crystal system. It summarizes recently published research by the authors and their collaborators, but also includes new and unpublished material. All models under consideration are built on compressible equations and liquid crystal systems. This type of partial differential equations arises not only in many fields of mathematics, but also in other branches of science such as physics, fluid dynamics and material science.
Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors
Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors write by Yuming Qin. This book was released on 2009-08-29. Nonlinear Parabolic-Hyperbolic Coupled Systems and Their Attractors available in PDF, EPUB and Kindle. This book presents recent results concerning the global existence in time, the large-time behavior, decays of solutions and the existence of global attractors for nonlinear parabolic-hyperbolic coupled systems of evolutionary partial differential equations.
Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems
Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems write by Songmu Zheng. This book was released on 2020-05-05. Nonlinear Parabolic Equations and Hyperbolic-Parabolic Coupled Systems available in PDF, EPUB and Kindle. 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.
Nonlinear Parabolic Equations and Hyperbolic Parab Olic Coupled Systems Pitman Monographs 76
Nonlinear Parabolic Equations and Hyperbolic Parab Olic Coupled Systems Pitman Monographs 76 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Parabolic Equations and Hyperbolic Parab Olic Coupled Systems Pitman Monographs 76 write by Songmu Zheng. This book was released on 1995-04-01. Nonlinear Parabolic Equations and Hyperbolic Parab Olic Coupled Systems Pitman Monographs 76 available in PDF, EPUB and Kindle.
