L1 stability for systems of hyperbolic conservation laws with a resonant moving source
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1226-1251 |
| Journal / Publication | SIAM Journal on Mathematical Analysis |
| Volume | 34 |
| Issue number | 5 |
| Publication status | Published - 2003 |
Link(s)
Abstract
In this paper, we study the L1 stability for the system u t +f(u)x = g(x -ct, u) when one of the characteristic fields has resonance with the moving source. The nonlinear resonance occurs when the speed of the source can coincide with one of the characteristic speeds of the hyperbolic conservation laws, In this situation, a wave pattern can be either stable or unstable. By employing a nonlinear functional approach, we prove the L1 stability of a transonic shock wave under the stability conditions introduced in [W.-C. Lien, Comm. Pure Appl. Math., 52 (1999), pp. 1075-1098; T.-P. Liu, Comm. Math. Phys., 83 (1982), pp. 243-260].
Research Area(s)
- Hyperbolic conservation laws, L1 nonlinear functional, Resonant source
Citation Format(s)
L1 stability for systems of hyperbolic conservation laws with a resonant moving source. / Ha, Seung-Yeal; Yang, Tong.
In: SIAM Journal on Mathematical Analysis, Vol. 34, No. 5, 2003, p. 1226-1251.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
