Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems
Published on 1. March 2012
Book
Paperback/Softback
X, 171 pages
978-3-0348-0279-6 (ISBN)
Description
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 It summarizes recently published research by the authors and their collaborators, but also includes new and unpublished material.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.
Reviews / Votes
From the reviews:
"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." (Oleg Dementiev, zbMATH, Vol. 1273, 2013)
More details
Series
Edition
2012
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
X, 171 p.
Dimensions
Height: 240 mm
Width: 168 mm
Thickness: 11 mm
Weight
320 gr
ISBN-13
978-3-0348-0279-6 (9783034802796)
DOI
10.1007/978-3-0348-0280-2
Schweitzer Classification
Other editions
Additional editions
Yuming Qin | Lan Huang
Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems
E-Book
02/2012
1st Edition
Birkhäuser
€58.84
Available for download
Persons
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.
Content
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.