Frontiers in Mathematics

Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems

Authors: Qin, Yuming, Huang, Lan

  • 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 ​
see more benefits

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-0348-0280-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-0348-0279-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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 It summarizes recently published research by the authors and their collaborators, but also includes new and unpublished material.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)


Table of contents (5 chapters)

  • Global Existence of Spherically Symmetric Solutions for Nonlinear Compressible Non-autonomous Navier-Stokes Equations

    Qin, Yuming (et al.)

    Pages 1-32

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

    Qin, Yuming (et al.)

    Pages 33-74

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

    Qin, Yuming (et al.)

    Pages 75-92

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

    Qin, Yuming (et al.)

    Pages 93-126

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

    Qin, Yuming (et al.)

    Pages 127-163

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-0348-0280-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-0348-0279-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Global Well-posedness of Nonlinear Parabolic-Hyperbolic Coupled Systems
Authors
Series Title
Frontiers in Mathematics
Copyright
2012
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel AG
eBook ISBN
978-3-0348-0280-2
DOI
10.1007/978-3-0348-0280-2
Softcover ISBN
978-3-0348-0279-6
Series ISSN
1660-8046
Edition Number
1
Number of Pages
X, 171
Topics