Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems

  • Yuming Qin
  • Lan Huang

Part of the Frontiers in Mathematics book series (FM)

About this book

Introduction

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 It summarizes recently published research by the authors and their collaborators, but also includes new and unpublished material.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

Keywords

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

Authors and affiliations

  • Yuming Qin
    • 1
  • Lan Huang
    • 2
  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

  • DOI https://doi.org/10.1007/978-3-0348-0280-2
  • Copyright Information Springer Basel AG 2012
  • Publisher Name Springer, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0348-0279-6
  • Online ISBN 978-3-0348-0280-2
  • Series Print ISSN 1660-8046
  • Series Online ISSN 1660-8054
  • About this book