L1-contraction in viscous scalar conser vation laws: Unconditional stability
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Mon, 30/11/2009 10:30 |
Denis Serre (École Normale Supérieure de Lyon) |
Partial Differential Equations Seminar  |
Gibson 1st Floor SR |
Several dissipative scalar conservation laws share the properties of
 -contraction and maximum principle. Stability issues are naturally
posed in terms of the -distance. It turns out that constants and
travelling waves are asymptotically stable under zero-mass initial
disturbances. For this to happen, we do not need any assumption
(smallness of the TW, regularity/smallness of the disturbance, tail
asymptotics, non characteristicity, ...) The counterpart is the lack of
a decay rate. |
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