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 It summarizes recently published research by the authors and their collaborators, but also includes new and unpublished material.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 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-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 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.
Global Well-posedness and Asymptotic Behavior of the Solutions to Non-classical Thermo(visco)elastic Models
Global Well-posedness and Asymptotic Behavior of the Solutions to Non-classical Thermo(visco)elastic Models - 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 and Asymptotic Behavior of the Solutions to Non-classical Thermo(visco)elastic Models write by Yuming Qin. This book was released on 2016-07-29. Global Well-posedness and Asymptotic Behavior of the Solutions to Non-classical Thermo(visco)elastic Models available in PDF, EPUB and Kindle. This book presents recent findings on the global existence, the uniqueness and the large-time behavior of global solutions of thermo(vis)coelastic systems and related models arising in physics, mechanics and materials science such as thermoviscoelastic systems, thermoelastic systems of types II and III, as well as Timoshenko-type systems with past history. Part of the book is based on the research conducted by the authors and their collaborators in recent years. The book will benefit interested beginners in the field and experts alike.
Global Existence and Uniqueness of Nonlinear Evolutionary Fluid Equations
Global Existence and Uniqueness of Nonlinear Evolutionary Fluid Equations - 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 Existence and Uniqueness of Nonlinear Evolutionary Fluid Equations write by Yuming Qin. This book was released on 2015-02-11. Global Existence and Uniqueness of Nonlinear Evolutionary Fluid Equations available in PDF, EPUB and Kindle. This book presents recent results on nonlinear evolutionary fluid equations such as the compressible (radiative) magnetohydrodynamics (MHD) equations, compressible viscous micropolar fluid equations, the full non-Newtonian fluid equations and non-autonomous compressible Navier-Stokes equations. These types of partial differential equations arise in many fields of mathematics, but also in other branches of science such as physics and fluid dynamics. This book will be a valuable resource for graduate students and researchers interested in partial differential equations, and will also benefit practitioners in physics and engineering.
