6 citations · 6 across the 4 of their papers we have counts for
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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…
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.…
Norm inflation for the Boussinesq system
Zongyuan Li, Weinan Wang
We prove the norm inflation phenomena for the Boussinesq system on . For arbitrarily small initial data in the negative-order Besov spaces $\dot{B}^{-1}_{\…
Long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity
Igor Kukavica, Weinan Wang
We address long time behavior of solutions to the 2D Boussinesq equations with zero diffusivity in the cases of the torus, , and on a bounded domain with Lions or Di…
Global Sobolev persistence for the fractional Boussinesq equations with zero diffusivity
Igor Kukavica, Weinan Wang
We address the persistence of regularity for the 2D -fractional Boussinesq equations with positive viscosity and zero diffusivity in general Sobolev spaces, i.e., for $(u_{0}, ρ…