202 citations · 1.7k across the 67 of their papers we have counts for
70 papers
Sharp Ill-posedness of the Hard-sphere Boltzmann Equation
Xuwen Chen, Yan Guo, Shunlin Shen +1
We investigate the ill-posedness mechanism of the hard-sphere Boltzmann equation in Sobolev space. Via a direct construction, we prove a strong-weak type ill-posedness…
Diffusive Expansion For Neutron Transport Equation
Yan Guo, Lei Wu
Grazing set singularity leads to a surprising counter-example and breakdown of the classical mathematical theory for diffusive expansion of neutron transport equation…
The Massless Electron limit of the Vlasov-Poisson-Landau system
Patrick Flynn, Yan Guo
Due to ion-electron collisions, it is impossible to derive any two-fluid model for plasma as a direct hydrodynamic limit of the Vlasov-Poisson-Landau system for ions and electrons.…
Naked singularities in the Einstein-Euler system
Yan Guo, Mahir Hadzic, Juhi Jang
In 1990, based on numerical and formal asymptotic analysis, Ori and Piran predicted the existence of self-similar spacetimes, called relativistic Larson-Penston solutions, that can…
Kinetic Fokker-Planck and Landau Equations with Specular Reflection Boundary Condition
Hongjie Dong, Yan Guo, Timur Yastrzhembskiy
We establish existence of finite energy weak solutions to the kinetic Fokker-Planck equation and the linearized Landau equation near Maxwellian, in the presence of specular reflect…
Global Axisymmetric Euler Flows with Rotation
Yan Guo, Benoit Pausader, Klaus Widmayer
We construct a class of global, dynamical solutions to the 3d Euler equations near the stationary state given by uniform "rigid body" rotation. These solutions are axisymmetric, of…