On the diffusive profiles for the system of compressible adiabatic flow through porous media

SIAM Journal on Mathematical Analysis

Volumn 33, Issue 4, 2001, Pages 790-826

  Marcati, Pierangelo ^a   Pan, Ronghua ^a  

^a UNIVERSITY OF L'AQUILA   (Italy)

Author keywords

Damping mechanism; Decay rates; Diffusive profile; L1 estimates; Weighted energy estimates

Indexed keywords

EID: 0035555615     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141099364401     Document Type: Article

References (22)

1. A system of hyperbolic conservation laws with frictional damping
2. Asymptotic behavior of solutions of a nonlinear diffusion equations
3. A class of similary solutions of the nonlinear diffusion equations
4. Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping
5. Nonlinear diffusive phenomena of nonlinear hyperbolic systems
6. Nonlinear diffusive phenomena of solutions for the system of compressible adiabatic flow through porous media
7. Nonlinear diffusive phenomena of entropy weak solutions for a system of quasilinear hyperbolic conservation laws with damping
8. Initial boundary value problem for the system of compressible adiabatic flow through porous media
9. Global existence of solutions for the system of compressible adiabatic flow through porous media
10. Large-time behavior of solutions for the system of comprssible adiabatic flow through porous media
11. Construction and qualitative behavior of solutions for a system of nonlinear hyperbolic conservation laws with damping
12. Construction and qualitative behavior of the solution of the perturbated Riemann problem for the system of one-dimensional isentropic flow with damping
13. Interaction of elementary waves for compressible Euler equations with frictional damping
14. The one dimensional Darcy'S law as the limit of a compressible Euler flow
15. Convergence to nonlinear diffusion waves for solutions of the initial boundary problem to the hyperbolic conservation laws with damping
16. Singular convergence of weak solutions for a quasi-linear nonhomogeneous hyperbolic system
17. Hyperbolic to parabolic relaxation theory for quasilinear first order systems
18. Convergence rates to nonlinear diffusion waves for solutions of system of hyperbolic conservation laws with damping
19. Boundary effect on asymptotic behavior of solutions to the p-system with damping
20. Asymptotic behavior of large weak entropy solutions of the damped p-system
21. Global smooth solutions to the adiabatic gas dynamics system with dissipation terms