3 citations · 10 across the 9 of their papers we have counts for
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On the Quantum Boltzmann Equation near Maxwellian and Vacuum
Zhimeng Ouyang, Lei Wu
We consider the non-relativistic quantum Boltzmann equation for fermions and bosons. Using the nonlinear energy method and mild formulation, we justify the global well-posedness wh…
Asymptotic Analysis of Boltzmann Equation in Bounded Domains
Lei Wu, Zhimeng Ouyang
Consider 3D Boltzmann equation in convex domains with diffusive-reflection boundary condition. We study the hydrodynamic limits as the Knudsen number and Strouhal number $ε\rightar…
Asymptotic Analysis of Transport Equation in Bounded Domains
Lei Wu
Consider neutron transport equations in 3D convex domains with in-flow boundary. We mainly study the asymptotic limits as the Knudsen number . Using Hilbert expan…
Dynamics and stability of sessile drops with contact points
Ian Tice, Lei Wu
In an effort to study the stability of contact lines in fluids, we consider the dynamics of a drop of incompressible viscous Stokes fluid evolving above a one-dimensional flat surf…
Boundary Layer of Transport Equation with In-Flow Boundary
Lei Wu
Consider the steady neutron transport equation in 2D convex domains with in-flow boundary condition. In this paper, we establish the diffusive limit while the boundary layers are p…
Asymptotic Analysis of Unsteady Neutron Transport Equation
Lei Wu
Consider the unsteady neutron transport equation with diffusive boundary condition in 2D convex domains. We establish the diffusive limit with both initial layer and boundary layer…