Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems

Beschreibung

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 It summarizes recently published research by the authors and their collaborators, but also includes new and unpublished material.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.
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 It summarizes recently published research by the authors and their collaborators, but also includes new and unpublished material.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.
Summarizes recent and new results on nonlinear parabolic-hyperbolic coupled systems The models presented are relevant in many physical and engineering applications Gives bibliographic comments at the end of each chapter ? Includes supplementary material: sn.pub/extras

Autor*in

Yuming Qin

Themen in »Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems«

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

Stimmen zu »Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems«

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)

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