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math.AP2019★ 1 cited
L^2-type contraction of viscous shocks for large family of scalar conservation laws
Logan Stokols
In this paper we study small shocks of 1D scalar viscous conservation laws with uniformly convex flux and nonlinear dissipation. We show that such shocks are L2 stable independent…
math.AP2019★ 9 cited
Holder Regularity up to the Boundary for Critical SQG on Bounded Domains
Logan Stokols, Alexis Vasseur
We consider the dissipative SQG equation in bounded domains, first introduced by Constantin and Ignatova in 2016. We show global Holder regularity up to the boundary of the solutio…