viscous conservation laws
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2021 ◽  
Vol 18 (02) ◽  
pp. 271-292
Author(s):  
Logan F. Stokols

We study small shocks of 1D scalar viscous conservation laws with uniformly convex flux and nonlinear dissipation. We show that such shocks are [Formula: see text] stable independently of the strength of the dissipation, even with large perturbations. The proof uses the relative entropy method with a spatially-inhomogeneous pseudo-norm.



2020 ◽  
Vol 79 (1) ◽  
pp. 103-124
Author(s):  
Miriam Bank ◽  
Matania Ben-Artzi ◽  
Maria E. Schonbek




2019 ◽  
Vol 267 (5) ◽  
pp. 2737-2791 ◽  
Author(s):  
Moon-Jin Kang ◽  
Alexis F. Vasseur ◽  
Yi Wang


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