Seminar series
Date
Mon, 30 Nov 2009
Time
10:30 -
11:30
Location
Gibson 1st Floor SR
Speaker
Denis Serre
Organisation
École Normale Supérieure de Lyon
Several dissipative scalar conservation laws share the properties of
$L1$-contraction and maximum principle. Stability issues are naturally
posed in terms of the $L1$-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.