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Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems
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Artikel-Nr:
9783034802796
Veröffentl:
2012
Einband:
Paperback
Erscheinungsdatum:
01.03.2012
Seiten:
184
Autor:
Lan Huang
Gewicht:
320 g
Format:
240x168x11 mm
Serie:
Frontiers in Mathematics
Sprache:
Englisch
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research by the authors and their collaborators, but also includes new and unpublished material.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.
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research by the authors and their collaborators, but also includes new and unpublished material.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.
Including previously unpublished material, this volume presents recent results on nonlinear parabolic-hyperbolic coupled systems such as the compressible Navier-Stokes equations.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.
Summarizes recent and new results on nonlinear parabolic-hyperbolic coupled systems
Preface.- 1 Global Existence of Spherically Symmetric Solutions for Nonlinear Compressible Non-autonomous Navier-Stokes Equations.- 2 Global Existence and Exponential Stability for a Real Viscous Heat-conducting Flow with Shear Viscosity.- 3 Regularity and Exponential Stability of the p th Power Newtonian Fluid in One Space Dimension.- 4 Global Existence and Exponential Stability for the p th Power Viscous Reactive Gas.- 5 On the 1D Viscous Reactive and Radiative Gas with the One-order Arrhenius Kinetics.- Bibliography.- Index.