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math.AP2026
Formalization of Landau damping in the Vlasov--Poisson equations in Lean
Jacob Bedrossian
We present a formalization in Lean 4 of Mouhot and Villani's theorem on nonlinear Landau damping in in all Gevrey regularity indices for small backgrounds.
math.AP2026
Existence of solutions for a model of the Earth's magnetic field
Jacob Bedrossian, Tom Schang, Franziska Weber
We study a physically realistic, whole-core mathematical model of the dynamics in the Earth's core and we prove existence of Leray-Hopf type weak solutions to the model. Our model…
math.AP2026
Finite time singularities in the Landau equation with very hard potentials
Jacob Bedrossian, Jiajie Chen, Maria Pia Gualdani +3
We consider the inhomogeneous Landau equation with and construct smooth, strictly positive initial data that develop a finite time singularity. The -norm o…