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math.AP2023
Regularization estimates of the Landau-Coulomb diffusion
Rene Cabrera, Maria Gualdani, Nestor Guillen
The Landau-Coulomb equation is an important model in plasma physics featuring both nonlinear diffusion and reaction terms. In this manuscript we focus on the diffusion operator wit…
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…