An error was encountered while trying to add the item to the cart. Please try again.
Copy To Clipboard
Successfully Copied!
Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws

Tai-Ping Liu Stanford University, Stanford, CA
Yanni Zeng State University of New York at Stony Brook, Stony Brook, NY
Available Formats:
Electronic ISBN: 978-1-4704-0184-9
Product Code: MEMO/125/599.E
List Price: $48.00 MAA Member Price:$43.20
AMS Member Price: $28.80 Click above image for expanded view Large Time Behavior of Solutions for General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws Tai-Ping Liu Stanford University, Stanford, CA Yanni Zeng State University of New York at Stony Brook, Stony Brook, NY Available Formats:  Electronic ISBN: 978-1-4704-0184-9 Product Code: MEMO/125/599.E  List Price:$48.00 MAA Member Price: $43.20 AMS Member Price:$28.80
• Book Details

Memoirs of the American Mathematical Society
Volume: 1251997; 120 pp
MSC: Primary 35; 76;

Physical models of conservation form—such as the compressible Navier-Stokes equations, and MHD and full nonlinear elasticity equations—are not uniformly parabolic, but rather hyperbolic-parabolic. This memoir gives a self-contained analysis of nonlinear interactions of dissipation waves as well as the hyperbolic aspects of general systems. It introduces the new pointwise estimates of Green functions and coupling of nonlinear waves.

Graduate students and research mathematicians interested in partial differential equations.

• Chapters
• 1. Introduction
• 2. Viscous conservation laws
• 3. Diffusion waves
• 4. Systems with diagonalizable linearizations
• 5. Green’s function for a $2 \times 2$ linear system
• 6. Green’s functions for $n \times n$ systems with applications
• 7. Energy estimate
• 8. Systems with non-diagonalizable linearizations
• 9. Applications to continuum mechanics
• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 1251997; 120 pp
MSC: Primary 35; 76;

Physical models of conservation form—such as the compressible Navier-Stokes equations, and MHD and full nonlinear elasticity equations—are not uniformly parabolic, but rather hyperbolic-parabolic. This memoir gives a self-contained analysis of nonlinear interactions of dissipation waves as well as the hyperbolic aspects of general systems. It introduces the new pointwise estimates of Green functions and coupling of nonlinear waves.

Graduate students and research mathematicians interested in partial differential equations.

• Chapters
• 1. Introduction
• 2. Viscous conservation laws
• 3. Diffusion waves
• 4. Systems with diagonalizable linearizations
• 5. Green’s function for a $2 \times 2$ linear system
• 6. Green’s functions for $n \times n$ systems with applications
• 7. Energy estimate
• 8. Systems with non-diagonalizable linearizations
• 9. Applications to continuum mechanics
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.