10 citations · 16 across the 9 of their papers we have counts for
9 papers
2D incompressible inviscid Oldroyd-B equations: ill-posedness, long time existence, and high Weissenberg number limit
Xin Liu, Weinan Wang
In this paper, we consider the high-Weissenberg number limit of a Voigt-regularized two-dimensional Oldroyd-B model for viscoelastic fluids. We first demonstrate that the Euler-Old…
Global existence for the stochastic Boussinesq equations with transport noise and small rough data
Quyuan Lin, Rongchang Liu, Weinan Wang
In this paper, we consider the stochastic Boussinesq equations on with transport noise and rough initial data. We first prove the existence and uniqueness of the loca…
On the space-time analyticity of the inhomogeneous heat equation on the half space with Neumann boundary conditions
Elie Abdo, Weinan Wang
We consider the inhomogeneous heat equation on the half-space with Neumann boundary conditions. We prove a space-time Gevrey regularity of the solution, with a…
On the global well-posedness and Gevrey regularity of some electrodiffusion models
Elie Abdo, Fizay-Noah Lee, Weinan Wang
We consider the Nernst-Planck equations describing the nonlinear time evolution of multiple ionic concentrations in a two-dimensional incompressible fluid. The velocity of the flui…
Kinetic Schauder estimates with time-irregular coefficients and uniqueness for the Landau equation
Christopher Henderson, Weinan Wang
We prove a Schauder estimate for kinetic Fokker-Planck equations that requires only Hölder regularity in space and velocity but not in time. As an application, we deduce a weak-str…
Local well-posedness for the Boltzmann equation with very soft potential and polynomially decaying initial data
Christopher Henderson, Weinan Wang
In this paper, we address the local well-posedness of the spatially inhomogeneous non-cutoff Boltzmann equation when the initial data decays polynomially in the velocity variable.…