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math.AP2023
Nonlinear asymptotic stability in for Lipschitz solutions to scalar conservation laws
William Golding
In this note, we show nonlinear stability in for Lipschitz solutions to genuinely nonlinear, multi-dimensional scalar conservation laws. As an application, we are able t…
math.AP2023★ 1 cited
Nonlinear regularization estimates and global well-posedness for the Landau-Coulomb equation near equilibrium
William Golding, Maria Gualdani, Amélie Loher
We consider the Landau equation with Coulomb potential in the spatially homogeneous case. We show short time propagation of smallness in norms for and instantaneous r…