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Global Existence and Uniqueness of Nonlinear Evolutionary Fluid Equations

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  • © 2015

Overview

Authors:
  1. Yuming Qin

    1. Department of Applied Mathematics, Donghua University, Shanghai, China

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    You can also search for this author in PubMed   Google Scholar

  2. Xin Liu

    1. Business Information Management School, Shanghai Institute of Foreign Trade, Shanghai, China

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    You can also search for this author in PubMed   Google Scholar

  3. Taige Wang

    1. Department of Mathematics, Virginia Tech, Blacksburg, USA

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  • Presents recent as well as unpublished results
  • Each chapter closes with bibliographic comments
  • Acquaints the reader with the main ideas of the basic theories and methods

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xi
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  2. Global Existence and Asymptotic Behavior of Solutions to the Cauchy Problem for the 1D Compressible Magnetohydrodynamic Fluid System

    • Yuming Qin, Xin Liu, Taige Wang
    Pages 1-28

  3. Global Existence and Exponential Stability of 1D Compressible and Radiative Magnetohydrodynamic Flows

    • Yuming Qin, Xin Liu, Taige Wang
    Pages 29-76

  4. Global Smooth Solutions for 1D Thermally Radiative Magnetohydrodynamics with Self-gravitation

    • Yuming Qin, Xin Liu, Taige Wang
    Pages 77-100

  5. Global Smooth Solutions to a 1D Self-gravitating Viscous Radiative and Reactive Gas

    • Yuming Qin, Xin Liu, Taige Wang
    Pages 101-111

  6. The Cauchy Problem for a 1D Compressible Viscous Micropolar Fluid Model

    • Yuming Qin, Xin Liu, Taige Wang
    Pages 113-141

  7. Global Existence and Exponential Stability for a 1D Compressible Viscous Micropolar Fluid Model

    • Yuming Qin, Xin Liu, Taige Wang
    Pages 143-153

  8. Global Existence and Exponential Stability of Solutions to the Equations of 1D Full Non-Newtonian Fluids

    • Yuming Qin, Xin Liu, Taige Wang
    Pages 155-173

  9. Exponential Stability of Spherically Symmetric Solutions to Nonlinear Non-autonomous Compressible Navier-Stokes Equations

    • Yuming Qin, Xin Liu, Taige Wang
    Pages 175-197

  10. Back Matter

    Pages 199-211
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Keywords

About this book

This book presents recent results on nonlinear evolutionary fluid equations such as the compressible (radiative) magnetohydrodynamics (MHD) equations, compressible viscous micropolar fluid equations, the full non-Newtonian fluid equations and non-autonomous compressible Navier-Stokes equations. These types of partial differential equations arise in many fields of mathematics, but also in other branches of science such as physics and fluid dynamics.

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.

Authors and Affiliations

  • Department of Applied Mathematics, Donghua University, Shanghai, China

    Yuming Qin

  • Business Information Management School, Shanghai Institute of Foreign Trade, Shanghai, China

    Xin Liu

  • Department of Mathematics, Virginia Tech, Blacksburg, USA

    Taige Wang

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