Global well-posedness and relaxation limits of a model for radiating gas

Journal of Differential Equations

Volumn 190, Issue 2, 2003, Pages 439-465

  Lattanzio, Corrado ^a   Marcati, Pierangelo ^a  

^a UNIVERSITY OF L'AQUILA   (Italy)

Author keywords

Relaxation limits; Scalar conservation laws

Indexed keywords

EID: 0037845158     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0396(02)00158-4     Document Type: Article

References (11)

1. C.M. Dafermos, Hyperbolic conservation laws in continuum physics, in: Grundlehren der Mathematischen Wissenschaften, Vol. 325, Springer, Berlin, 2000.
2. K. Hamer, Nonlinear effects on the propagation of sound waves in a radiating gas, Quart. J. Mech. Appl. Math. 24 (1971) 155-168.
3. S. Kawashima, Y. Nikkuni, S. Nishibata, The initial value problem for hyperbolic-elliptic coupled systems and applications to radiation hydrodynamics, in: H. Freistühler (Ed.), Analysis of Systems of Conservation Laws, Monographs and Surveys in Pure and Applied Mathematics, Vol. 99, Chapman & Hall/CRC, Boca Raton, 1998.
4. S. Kawashima, S. Nishibata, Weak solutions with a shock to a model system of the radiating gas, Sci. Bull. Josai Univ. special issue n. 5 (1998) 119-130.
5. S. Kawashima, S. Nishibata, Shock waves for a model system of a radiating gas, SIAM J. Math. Anal. 30 (1999) 95-117.
6. S. Kawashima, S. Nishibata, Cauchy problem for a model system of the radiating gas: weak solutions with a jump and classical solutions, Math. Models Methods Appl. Sci. 9 (1999) 69-91.
7. S. Kružkov, First order quasi-linear equations with several space variables, Mat. Sb. 123 (1970) 217-243.
8. S. Nishibata, Asymptotic behavior of solutions to a model system of radiating gas with discontinuous initial data, Math. Models Methods Appl. Sci. 10 (2000) 1209-1231.
9. 1 des chocs et de deux types de profils, pour des lois de conservation scalaires, Technical Report.
10. J.A. Smoller, Shock Waves and Reaction-Diffusion Equations, 2nd Edition, Springer, Berlin, 1994.
11. W.G. Vincenti, C.H. Kruger, Introduction to Physical Gas Dynamics, Wiley, New York, 1965.