Including previously unpublished material, this volume presents recent results on nonlinear parabolic-hyperbolic coupled systems such as the compressible Navier-Stokes equations. It also summarizes the latest research by the authors and their collaborators.

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 It summarizes recently published research by the authors and their collaborators, but also includes new and unpublished material.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.

Summarizes recent and new results on nonlinear parabolic-hyperbolic coupled systems The models presented are relevant in many physical and engineering applications Gives bibliographic comments at the end of each chapter ? Includes supplementary material: sn.pub/extras

Autorentext

Yuming Qin, born in 1963, is a professor in the Department of Applied Mathematics and the Institute for Nonlinear Science of Donghua University. His research interests are nonlinear evolutionary partial differential equations and their infinite dimensional dynamical systems. He finished more than 20 grants and is currently carrying out three grants from the National Natural Science Foundation of China and from the Shanghai Education Commission. Prof. Qin is presently on the editorial boards of four international journals and has published over 80 mathematical articles, among them more than 50 SCI articles, as well as four Birkhäuser monographs since 2008.

Inhalt
Preface.- 1 Global Existence of Spherically Symmetric Solutions for Nonlinear Compressible Non-autonomous Navier-Stokes Equations.- 2 Global Existence and Exponential Stability for a Real Viscous Heat-conducting Flow with Shear Viscosity.- 3 Regularity and Exponential Stability of the p th Power Newtonian Fluid in One Space Dimension.- 4 Global Existence and Exponential Stability for the p th Power Viscous Reactive Gas.- 5 On the 1D Viscous Reactive and Radiative Gas with the One-order Arrhenius Kinetics.- Bibliography.- Index.