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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Proves equi-coercivity and Γ-convergence of the s-mass for codim-2 currents and shows equivalence between prescribed-Jacobian and weak-linking formulations, with singular-set dimension bounds for minimizers.
Establishes fractional Leibniz rules for the Dunkl Laplacian via Dunkl paraproducts, pointwise decay estimates, and almost orthogonality in the Dunkl framework.
citing papers explorer
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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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Another look at a notion of fractional mass in codimension two
Proves equi-coercivity and Γ-convergence of the s-mass for codim-2 currents and shows equivalence between prescribed-Jacobian and weak-linking formulations, with singular-set dimension bounds for minimizers.
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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.