2 citations · 2 across the 8 of their papers we have counts for
8 papers
Several counterexamples to kinetic Schauder estimates
Hongjie Dong, Weinan Wang
In this paper, we construct counterexamples to the Schauder estimate for kinetic Fokker--Planck equations, disproving \cite[Conjecture~1.3]{HW}. The conjectured estimate would cont…
Sharp Logarithmic Ultra-analyticity for Fractional and Nonlocal Elliptic Equations
Hongjie Dong, Yeyao Hu, Ming Wang
It is well known that solutions of elliptic equations inherit analyticity from analytic coefficients, while much less is understood about the inheritance of ultra-analytic regulari…
Sharp Material Interface Limit of the Darcy-Boussinesq System
Hongjie Dong, Xiaoming Wang
We investigate the sharp material interface limit of the Darcy-Boussinesq model for convection in layered porous media with diffused material interfaces, which allow a gradual tran…
Log-type ultra-analyticity of elliptic equations with gradient terms
Hongjie Dong, Ming Wang
It is well known that every solution of an elliptic equation is analytic if its coefficients are analytic. However, less is known about the ultra-analyticity of such solutions. Thi…
Asymptotic Stability for Relativistic Vlasov-Maxwell-Landau System in Bounded Domain
Hongjie Dong, Yan Guo, Timur Yastrzhembskiy
The control of plasma-wall interactions is crucial to fusion devices from both physical and mathematical perspectives. It is well known that a magnetic field satisfying the classic…
The Local-well-posedness of the relativistic Vlasov-Maxwell-Landau system with the specular reflection boundary condition
Hongjie Dong, Yan Guo, Zhimeng Ouyang +1
We prove the local-in-time well-posedness of the relativistic Vlasov-Maxwell-Landau system in a bounded domain with the specular reflection condition. Our result covers the cas…
Global Schauder estimates for kinetic Kolmogorov-Fokker-Planck equations
Hongjie Dong, Timur Yastrzhembskiy
We present global Schauder type estimates in all variables and unique solvability results in kinetic Hölder spaces for kinetic Kolmogorov-Fokker-Planck (KFP) equations. The leading…
Global estimates for kinetic Kolmogorov-Fokker-Planck equations in divergence form
Hongjie Dong, Timur Yastrzhembskiy
We present a priori estimates and unique solvability results in the mixed-norm Lebesgue spaces for kinetic Kolmogorov-Fokker-Planck (KFP) equation in divergence form. The leading c…