a-contraction, which holds uniformly in amplitude for inviscid shocks, fails for large viscous shocks in certain scalar and Navier-Stokes conservation laws.
On the constructio n of approximate solutions for the 2D viscous shallow water model and for compressible Navier- Stokes models
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Viscous Destabilization for Large Shocks of Conservation Laws
a-contraction, which holds uniformly in amplitude for inviscid shocks, fails for large viscous shocks in certain scalar and Navier-Stokes conservation laws.