This paper proves contraction and t^{-1/4} time decay, up to a shift, for large perturbations of planar viscous shocks in multi-D scalar conservation laws with strictly convex flux.
Stability of viscous scalar shock fronts in several dimensi ons
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Decay of large solutions around shocks to multi-D viscous conservation law with strictly convex flux
This paper proves contraction and t^{-1/4} time decay, up to a shift, for large perturbations of planar viscous shocks in multi-D scalar conservation laws with strictly convex flux.