15 citations · 15 across the 5 of their papers we have counts for
5 papers
Nonlinear stability of the Larson-Penston collapse
Yan Guo, Mahir Hadzic, Juhi Jang +1
We prove nonlinear stability of the Larson-Penston family of self-similarly collapsing solutions to the isothermal Euler-Poisson system. Our result applies to radially symmetric pe…
Diffusive Expansion of the Boltzmann equation for the flow past an obstacle
Yan Guo, Junhwa Jung
The exterior domain problem is essential in fluid and kinetic equations. In this paper, we establish the validity of the diffusive expansion for the Boltzmann equations to the Navi…
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…
Phase Transition in a Vlasov-Boltzmann Binary Mixture
R. Esposito, Y. Guo, R. Marra
There are not many kinetic models where it is possible to prove bifurcation phenomena for any value of the Knudsen number. Here we consider a binary mixture over a line with collis…