Critical thresholds in a convolution model for nonlinear conservation laws

SIAM Journal on Mathematical Analysis

Volumn 33, Issue 4, 2001, Pages 930-945

  Liu, Hailiang ^a   Tadmor, Eitan ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Critical threshold; Shock profile; Stability; Wave breakdown

Indexed keywords

EID: 0035556990     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141001386908     Document Type: Article

References (25)

1. Wave breaking for nonlinear nonlocal shallow Water equations
2. An integrable shallow water equation with peaked solitons
3. Critical Threshold in Euler-Poisson Equations
4. Nonlinear effects on the propagation of sound waves in a radiating gas
5. Regularization of the Burnett equations for rapid granular flows via relaxation
6. Regularization of the Burnett equations via relaxation
7. Formation of singularities in one-dimensional nonlinear wave propagation
8. Shock waves for a model system of the radiating gas
9. Cauchy problem for a model system of the radiating gas: Weak solutions with a jump and classical solutions
10. First order quasilinear equations in several independent variables
11. Development of singularities in the nonlinear waves for quasilinear hyperbolic partial differential equations
12. Development of singularities in the nonlinear waves for quasilinear hyperbolic partial differential equations
13. Breakdown of shallow water equations
14. Nonlinear nonlocal equations in the theory of waves
15. 1-stability of travelling waves with application to convective porous media flow
16. Extending hydrodynamics via the regularization of the Chapman-Enskog expansion
17. A renormalization method for the Chapman-Enskog expansion
18. Renormalization of the Chapman-Enskog expansion: Isothermal fluid flow and Rosenau saturation
19. Constitutive relations for monatomic gases based on a generalized rational approximation to the sum of the Chapman-Enskog expansion
20. Constitutive relations for Rivlin-Ericksen fluids based on generalized rational approximation
21. Regularized Chapman-Enskog expansion for scalar conservation laws
22. On the weak solutions to a shallow water equation
23. Linear and nonlinear waves