References
- Bardos , C. , Golse , F. and Levermore , C. D. 1993 . Fluid dynamic limit of kinetic equations II: Convergence proofs for the Boltzmann equations . Comm. Pure Appl. Math. , 46 : 667 – 753 .
- Bensoussan , A. , Lions , J. L. and Papanicolaou , G. C. 1979 . Boundary layers and homogenization of transport process , 15 437 – 476 . J. Publ. RIMS Kyoto Univ. .
- Cercignani , C. , Illner , R. and Pulvirenti , M. 1994 . The Mathematical Theory of Dilute Gases , New York : Springer-Verlag .
- Chen , G. Q. , Levermore , C. D. and Liu , T. P. 1994 . Hyperbolic conservation laws with stiff relaxation terms and entropy . Comm. Pure. Appl. Math. , 47 : 787 – 830 .
- Jin , S. and Liu , H. L. Sept. 1998 . Diffusion limit of a hyperbolic system with relaxation . Methods and Applications of Analysis , 5 ( 3 )
- Jin , S. and Xin , Z. P. 1995 . The relaxation schemes for systems of conservation laws in arbitrary space dimensions . Comm. Pure. Appl. Math. , 48 : 235 – 277 .
- Katsoulakis , M. A. and Tzavaras , A. E. 1997 . Contractive relaxation systems and the scalar multidimensional conservation laws . Comm. PDE. , 22 : 195 – 233 .
- Larsen , E. W. and Keller , J. B. 1974 . Asymptotic solutions of the neutron transport problem . J. Math. Phys. , 15 : 75 – 81 .
- Lions , P. L. and Toscani , G. 1996 . Diffusive limit for finite velocity Boltzmann kinetic models , preprint
- Liu , T. P. 1987 . Hyperbolic conservation laws with relaxation . Comm. Math. Phys. , 108 : 153 – 175 .
- Marcati , P. and Milani , A. 1990 . The one-dimensional Darcy's law as the limit of a compressible Euler law . J. Diff. Eqn. , 13 : 129 – 147 .
- Marcati , P. and Rubino , B. 1996 . Hyperbolic to parabolic relaxation theory for quasilinear first order systems , preprint
- Natalini , R. 1996 . Convergence to equilibrium for the relaxation approximations of conservation laws . Comm. Pure Appl. Math. , 49 : 1 – 30 .
- Natalini , R. 1998 . Recent Mathematical Results on Hyperbolic Relaxation Problems , preprint
- Ryzhik , L. , Papanicolaou , G. and Keller , J. 1996 . Transport equations for elastic and other waves in random media . Wave Motion , 24 : 327 – 370 .
- Whitham , G. B. 1974 . Linear and Nonlinear Waves , New York : Wiley .