A unified relative entropy framework yields quantitative strong and weak convergence for diffusive, high-field, and strong-magnetic-field limits of Vlasov-Fokker-Planck equations with Riesz-type interactions.
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Establishes fractional Leibniz rules for the Dunkl Laplacian via Dunkl paraproducts, pointwise decay estimates, and almost orthogonality in the Dunkl framework.
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A unified relative entropy framework for macroscopic limits of Vlasov--Fokker--Planck equations
A unified relative entropy framework yields quantitative strong and weak convergence for diffusive, high-field, and strong-magnetic-field limits of Vlasov-Fokker-Planck equations with Riesz-type interactions.
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Dunkl paraproducts and fractional Leibniz rules for the Dunkl Laplacian
Establishes fractional Leibniz rules for the Dunkl Laplacian via Dunkl paraproducts, pointwise decay estimates, and almost orthogonality in the Dunkl framework.