Develops and analyzes hypocoercivity-preserving C0-IP finite-element methods in space with hp-DG time stepping for kinetic Fokker-Planck equations on R^d x R^d, proving exponential decay via weighted Poincare inequalities and new trace estimates.
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3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Proves optimal C^{3/2} (smooth data) and C^{1,1} (no sources) boundary Harnack estimates for kinetic Fokker-Planck equations near grazing sets.
Constructs weak solutions, proves anisotropic Besov regularity, and establishes uniqueness in the mass-preserving renormalized class for kinetic FP equations with nonlinear diffusion under mass-critical growth on Ψ.
citing papers explorer
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Boundary Harnack estimates of optimal order for kinetic Fokker-Planck equations
Proves optimal C^{3/2} (smooth data) and C^{1,1} (no sources) boundary Harnack estimates for kinetic Fokker-Planck equations near grazing sets.
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Kinetic Fokker-Planck Equations with Nonlinear Diffusion
Constructs weak solutions, proves anisotropic Besov regularity, and establishes uniqueness in the mass-preserving renormalized class for kinetic FP equations with nonlinear diffusion under mass-critical growth on Ψ.