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Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems

  • Book
  • © 2012

Overview

Authors:
  1. Yuming Qin

    1. , Department of Applied Mathematics, Donghua University, Shanghai, China, People's Republic

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    You can also search for this author in PubMed   Google Scholar

  2. Lan Huang

    1. and Electric Power, College of Mathematics and, North China University of Water Sources, Zhengzhou, China, People's Republic

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • 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

Part of the book series: Frontiers in Mathematics (FM)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-x
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  2. Global Existence of Spherically Symmetric Solutions for Nonlinear Compressible Non-autonomous Navier-Stokes Equations

    • Yuming Qin, Lan Huang
    Pages 1-32

  3. Global Existence and Exponential Stability for a Real Viscous Heat-conducting Flow with Shear Viscosity

    • Yuming Qin, Lan Huang
    Pages 33-74

  4. Regularity and Exponential Stability of the pth Power Newtonian Fluid in One Space Dimension

    • Yuming Qin, Lan Huang
    Pages 75-92

  5. Global Existence and Exponential Stability for the pth Power Viscous Reactive Gas

    • Yuming Qin, Lan Huang
    Pages 93-126

  6. On a 1D Viscous Reactive and Radiative Gas with First-order Arrhenius Kinetics

    • Yuming Qin, Lan Huang
    Pages 127-163

  7. Back Matter

    Pages 165-171
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Keywords

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 It summarizes recently published research by the authors and their collaborators, but also includes new and unpublished material.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

Reviews

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)

Authors and Affiliations

  • , Department of Applied Mathematics, Donghua University, Shanghai, China, People's Republic

    Yuming Qin

  • and Electric Power, College of Mathematics and, North China University of Water Sources, Zhengzhou, China, People's Republic

    Lan Huang

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