L[sup 1]-stability of stationary discrete shocks
Journal Article
·
· Mathematics of Computation; (United States)
OSTI ID:6655216
The nonlinear stability in the L[sup p]-norm, p [ge] 1, of stationary weak discrete shocks for the Lax-Friedrichs scheme approximating general m [times] m systems of nonlinear hyperbolic conservation laws is proved, provided that the summations of the initial perturbations equal zero. The result is proved by using a both weighted estimate and characteristic energy method based on the internal structures of the discrete shocks and the essential monotonicity of the Lax-Friedrichs scheme. 13 refs.
- DOE Contract Number:
- FG02-88ER25053
- OSTI ID:
- 6655216
- Journal Information:
- Mathematics of Computation; (United States), Journal Name: Mathematics of Computation; (United States) Vol. 60:201; ISSN 0025-5718; ISSN MCMPAF
- Country of Publication:
- United States
- Language:
- English
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