Global existence of solutions for the system of compressible adiabatic flow through porous media

SIAM Journal on Mathematical Analysis

Volumn 27, Issue 1, 1996, Pages 70-77

  Hsiao, L ^a   Serre, D ^b  

^a INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

^b UNIVERSITÉ DE LYON   (France)

Author keywords

Damping dissipation; Global existence; L2 estimates; L esitmates; The system of compressible adiabatic flow

Indexed keywords

EID: 0030544338     PISSN: 00361410     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036141094267078     Document Type: Article

References (4)

1. [HL] L. HSIAO AND TAI-PING LIU, Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping, Comm. Math. Phys., 143 (1992), pp. 599-605.
2. [HS] L. HSIAO AND D. SERRE, Large-time behavior of solutions for the system of compressible adiabatic flow through porous media, Chinese Ann. Math. Ser. B, 16B (1995), pp. 1-14.
3. TAI-PING LIU, Development of singularities in the nonlinear waves for quasilinear hyperbolic partial differential equations, J. Differential Equations., 33 (1979), pp. 92-111.
4. [LZ] T. T. LI, Y. ZHOU, AND D. X. KONG, Weak linear degeneracy and global classical solutions for first order quasilinear hyperbolic systems, in Global Classical Solutions for Quasilinear Hyperbolic Systems, Li Ta-tsien, ed., Wiley, New York, 1994, pp. 132-133.