The formation and decay of shocks for a conservation law in several dimensions
β Scribed by Edward D. Conway
- Publisher
- Springer
- Year
- 1977
- Tongue
- English
- Weight
- 457 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0003-9527
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π SIMILAR VOLUMES
In this paper, the weakly nonlinear limit for the relaxation approximation of conservation laws in several space dimensions is derived through asymptotic expansions and justified by employing the energy estimates. Compared with the work of G. Q. Chen, C. D. Levermore, and T. P. Liu (1994, Comm. Pure
This paper concerns the large time behavior toward planar rarefaction waves of solutions for the relaxation approximation of conservation laws in several dimensions. It is shown that a planar rarefaction wave is nonlinear stable in the sense that it is an asymptotic attractor for the relaxation appr
## Abstract Using the weak asymptotic method, we approximate a triangular system of conservation laws arising from the soβcalled generalized pressureless gas dynamics by a diagonal linear system. Then, we apply the usual method of characteristics to find approximate solution to the original system.