NONLINEAR STABILITY OF TWO-MODE SHOCK PROFILES FOR A RATE-TYPE VISCOELASTIC SYSTEM WITH RELAXATION

Authors :: Ronghua Pan
Ling Hsiao
Source :: Chinese Annals of Mathematics. 20:479-488
Publication Year :: 1999
Publisher :: World Scientific Pub Co Pte Lt, 1999.
Abstract: The authors study a 3 × 3 rate-type viscoelastic system, which is a relaxation approximation to a 2 × 2 quasi-linear hyperbolic system, including the well-known p-system. The nonlinear stability of two-mode shock waves in this relaxation approximation is proved.

Subjects :: Shock wave
Applied Mathematics
General Mathematics
Nonlinear stability
Mathematical analysis
Mode (statistics)
Relaxation (approximation)
Type (model theory)
Viscoelasticity
Hyperbolic systems
Mathematics
Shock (mechanics)

Tools