© 2012

Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems


Part of the Frontiers in Mathematics book series (FM)

About this book


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 It summarizes recently published research by the authors and their collaborators, but also includes new and unpublished material.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


Initial-boundary value problems Navier-Stokes equations Partial differential equations global existence of solutions regularity of solutions

Authors and affiliations

  1. 1., Department of Applied MathematicsDonghua UniversityShanghaiChina, People's Republic
  2. 2.and Electric Power, College of Mathematics andNorth China University of Water SourcesZhengzhouChina, People's Republic

Bibliographic information

  • Book Title Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems
  • Authors Yuming Qin
    Lan Huang
  • Series Title Frontiers in Mathematics
  • DOI
  • Copyright Information Springer Basel AG 2012
  • Publisher Name Springer, Basel
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Softcover ISBN 978-3-0348-0279-6
  • eBook ISBN 978-3-0348-0280-2
  • Series ISSN 1660-8046
  • Series E-ISSN 1660-8054
  • Edition Number 1
  • Number of Pages X, 171
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Partial Differential Equations
  • Buy this book on publisher's site
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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)