1st Edition
Hyperbolic Conservation Laws and the Compensated Compactness Method
By Yunguang Lu
Copyright 2002
256 Pages
10 B/W Illustrations
by
Chapman & Hall
254 Pages
10 B/W Illustrations
by
Chapman & Hall
256 Pages
by
Chapman & Hall
Also available as eBook on:
The method of compensated compactness as a technique for studying hyperbolic conservation laws is of fundamental importance in many branches of applied mathematics. Until now, however, most accounts of this method have been confined to research papers. Offering the first comprehensive treatment, Hyperbolic Conservation Laws and the Compensated Compactness Method gathers together into a single... Read more
PRELIMINARY
THEORY OF COMPENSATED COMPACTNESS
SCALAR EQUATION
ELEMENTARY IN HYPERBOLIC SYSTEM
A SYMMETRY SYSTEM
A SYSTEM OF QUADRATIC FLUX
LE ROUX SYSTEM
SYSTEM OF POLYTROPIC GAS DYNAMICS
TWO SYSTEMS OF EULER-EQUATIONS
GENERAL SYSTEM OF EULER-EQUATIONS
EXTENDED SYSTEMS OF ELASTICITY
L[p] CASE FOR SYSTEMS OF ELASTICITY
ELEMENTARY IN RELAXATION
RELAXATION WITH DIFFUSION
SYSTEMS WITH STIFF RELAXATION
RELAXATION FOR 3 x 3 SYSTEMS
BIBLIOGRAPHY
THEORY OF COMPENSATED COMPACTNESS
SCALAR EQUATION
ELEMENTARY IN HYPERBOLIC SYSTEM
A SYMMETRY SYSTEM
A SYSTEM OF QUADRATIC FLUX
LE ROUX SYSTEM
SYSTEM OF POLYTROPIC GAS DYNAMICS
TWO SYSTEMS OF EULER-EQUATIONS
GENERAL SYSTEM OF EULER-EQUATIONS
EXTENDED SYSTEMS OF ELASTICITY
L[p] CASE FOR SYSTEMS OF ELASTICITY
ELEMENTARY IN RELAXATION
RELAXATION WITH DIFFUSION
SYSTEMS WITH STIFF RELAXATION
RELAXATION FOR 3 x 3 SYSTEMS
BIBLIOGRAPHY
Biography
Yunguang Lu is a Professor of Mathematics at the University of Columbia, Bogota and at the University of Science and Technology of China, Hefei.
"The book is carefully written and will be appreciated both by PhD students and experts in the field as one of a few books gathering the knowledge … [previously] dispersed among research papers."
- EMS Newsletter, Dec. 2004
