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5 papers · 2 filters
Negative Sobolev Spaces and the Two-species Vlasov-Maxwell-Landau System in the Whole Space
Yuanjie Lei, Huijiang Zhao
A global solvability result of the Cauchy problem of the two-species Vlasov-Maxwell-Landau system near a given global Maxwellian is established by employing an approach different t…
Solution of the Dirichlet Problem for Degenerate -Hessian Equations
Qi Wang, Chao-Jiang Xu
In this paper, we prove the existence of -solution to the Dirichlet problem for degenerate elliptic -Hessian equations under a condition which is weaker th…
Global Existence and Decay of Solutions to the Fokker-Planck-Boltzmann Equation
Linjie Xiong, Tao Wang, Lusheng Wang
The Cauchy problem to the Fokker-Planck-Boltzmann equation under Grad's angular cut-off assumption is investigated. When the initial data is a small perturbation of an equilibrium…
Heat kernels and analyticity of non-symmetric jump diffusion semigroups
Zhen-Qing Chen, Xicheng Zhang
Let and . Consider the following non-local and non-symmetric Lévy-type operator on $\mR^d$: $$ \sL^κ_αf(x):=\mbox{p.v.}\int_{\mR^d}(f(x+z)-f(x))\frac{κ(x,z)}…
One-dimensional Compressible Navier-Stokes Equations with Temperature Dependent Transport Coefficients and Large Data
Hongxia Liu, Tong Yang, Huijiang Zhao +1
This paper is concerned with the global smooth non-vacuum solutions with large data to the Cauchy problem of the one-dimensional compressible Navier-Stokes equations with degenerat…