Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems

Including previously unpublished material, this volume presents recent results on nonlinear parabolic-hyperbolic coupled systems such as the compressible Navier-Stokes equations.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.

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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research by the authors and their collaborators, but also includes new and unpublished material.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.