Long-time Behavior of Scalar Viscous Shock Fronts in Two Dimensions
نویسندگان
چکیده
We prove nonlinear stability in L 1 of planar shock front solutions to a viscous conservation law in two spatial dimensions, and obtain an expression for the asymptotic form of small perturbations. The leading-order behavior is shown rigorously to be governed by an eeective diiusion coeecient depending on forces transverse to the shock front. The proof is based on a spectral analysis of the linearized problem.
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تاریخ انتشار 2007