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


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 It summarizes recently published research by the authors and their collaborators, but also includes new and unpublished material.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

  • 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

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