Date
Thu, 24 Apr 2008
16:30
Location
DH 1st floor SR
Speaker
Margaret Beck
Organisation
University of Surrey

"Time-periodic shocks in systems of viscous conservation laws are shown to be nonlinearly stable. The result is obtained by representing the evolution associated to the linearized, time-periodic operator using a contour integral, similar to that of strongly continuous semigroups. This yields detailed pointwise estimates on the Green's function for the time-periodic operator. The evolution associated to the embedded zero eigenvalues is then extracted.

Stability follows from a Gronwall-type estimate, proving algebraic decay of perturbations."

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