Stiff well-posedness for hyperbolic systems with large relaxation terms

Advances in Differential Equations

Volumn 2, Issue 4, 1997, Pages 643-666

  Lorenz, Jens ^a   Schroll, H Joachim ^b  

^a UNIVERSITY OF NEW MEXICO   (United States)

^b RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000503001     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. G. Q. Chen, C. D. Levermore, and T. P. Liu, Hyperbolic conservation laws with stiff relaxation terms and entropy, Comm. on Pure and App. Math., XLVII (1994), 787-830.
2. H.-O. Kreiss and J. Lorenz, "Initial-Boundary Value Problems and the Navier-Stokes Equations," Academic Press, London, 1989.
3. R. J. LeVeque and J. Wang, A linear hyperbolic system with stiff source terms, in Notes on Numerical Fluid Mechanics, A. Donato and F. Oliveri, eds., vol. 43, Vieweg (1992), 401-408.
4. 1-error bound for a semiimplicit difference scheme applied to a stiff system of conservation laws, SIAM J. Numer. Anal., (1994), to appear.
5. A. Tveito and R. Winther, On the rate of convergence to equilibrium for a system of conservation laws including a relaxation term, SIAM J. Math. Anal., (1994), to appear.
6. A. B. Vasil'eva, V. F. Butuzov, and L. V. Kalachev, "The Boundary Function Method for Singular Perturbation Problems," SIAM Studies in Applied Mathematics, SIAM, Philadelphia, 1995.
7. G. B. Whitham, "Linear and Nonlinear Waves," John Wiley & Sons, New York, 1973.