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 2008-11-25. 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 2019-12-02. 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 Systems and Attractors
Nonlinear Parabolic Systems and 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 Systems and Attractors write by Dung Le. This book was released on 1997. Nonlinear Parabolic Systems and Attractors available in PDF, EPUB and Kindle.
Integral and Discrete Inequalities and Their Applications
Integral and Discrete Inequalities and Their Applications - 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 Integral and Discrete Inequalities and Their Applications write by Yuming Qin. This book was released on 2016-10-06. Integral and Discrete Inequalities and Their Applications available in PDF, EPUB and Kindle. This book concentrates on one- and multi-dimensional nonlinear integral and discrete Gronwall-Bellman type inequalities. It complements the author’s book on linear inequalities and serves as an essential tool for researchers interested in differential (ODE and PDE), difference, and integral equations. The present volume is part 2 of the author’s two-volume work on inequalities. Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral 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.
