Nonlinear Stability of Shock Fronts for a Relaxation System in Several Space Dimensions
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 365-408 |
Journal / Publication | Journal of Differential Equations |
Volume | 139 |
Issue number | 2 |
Publication status | Published - 20 Sept 1997 |
Externally published | Yes |
Link(s)
Abstract
We study the nonlinear asymptotic stability of planar shock front for a class of relaxation systems which approximate scalar conservation laws in several space dimensions time asymptotically. It is shown that if the relaxation system satisfies the subcharacteristic condition, then a traveling wave solution connecting a weak entropy shock is asymptotically stable under small generic perturbations. © 1997 Academic Press.
Citation Format(s)
Nonlinear Stability of Shock Fronts for a Relaxation System in Several Space Dimensions. / Luo, Tao; Xin, Zhouping.
In: Journal of Differential Equations, Vol. 139, No. 2, 20.09.1997, p. 365-408.
In: Journal of Differential Equations, Vol. 139, No. 2, 20.09.1997, p. 365-408.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review