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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A convergent finite element method is constructed and analyzed for an anisotropic porous medium equation with fractional pressure, with numerical tests in 2D.
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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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Finite element approximation of an anisotropic porous medium equation with fractional pressure
A convergent finite element method is constructed and analyzed for an anisotropic porous medium equation with fractional pressure, with numerical tests in 2D.