4 citations · 8 across the 6 of their papers we have counts for
5 papers · 1 filter
-norms for the homogeneous non-cutoff Boltzmann equation with soft potentials
Matt Spragge, Weiran Sun
We establish a priori estimates showing the propagation and generation of -norms for solutions to the non-cutoff spatially homogeneous Boltzmann equation with soft potentials.…
Reconstruction of the Doping Profile in Vlasov-Poisson
Ru-Yu Lai, Qin Li, Weiran Sun
We study the inverse problem of recovering the doping profile in the stationary Vlasov-Poisson equation, given the knowledge of the incoming and outgoing measurements at the bounda…
Fractional Diffusion Limits of Non-Classical Transport Equations
Martin Frank, Weiran Sun
We establish asymptotic diffusion limits of the non-classical transport equation derived in [E. W. Larsen, A generalized Boltzmann equation for non-classical particle transport, Jo…
The radiative transfer equation in the forward-peaked regime
Ricardo Alonso, Weiran Sun
In this work we study the radiative transfer equation in the forward-peaked regime in free space. Specifically, it is shown that the equation is well-posed by proving instantaneous…
Remarks on Oldroyd-B and Related Complex Fluids Models
Peter Constantin, Weiran Sun
We prove global existence and uniqueness of solutions of Oldroyd-B systems with relatively small data in $\Rr^d$, in a large functional setting (). This is a stability…