Large-time behavior of solutions of Lax-Friedrichs finite difference equations for hyperbolic systems of conservation laws
Journal Article
·
· Mathematics of Computation; (United States)
The author studies the large-time behavior of discrete solutions of the Lax-Friedrichs finite difference equations for hyperbolic systems of conservation laws. The initial data considered here are small and tend to a constant state at x = {plus minus}{infinity}. He shows that the solutions tend to the discrete diffusion waves at the rate O(t{sup {minus}3/4+1/2p+{sigma}}) in l{sup 0}, 1 {le} p {le} {infinity}, with {sigma} > 0 being an arbitrarily small constant. The discrete diffusion waves can be constructed from the self-similar solutions of the heat equation and the Burgers equation through an averaging process.
- DOE Contract Number:
- FG02-88ER25053
- OSTI ID:
- 7205558
- Journal Information:
- Mathematics of Computation; (United States), Journal Name: Mathematics of Computation; (United States) Vol. 56:193; ISSN 0025-5718; ISSN MCMPA
- Country of Publication:
- United States
- Language:
- English
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