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math.AP2023
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…
math.AP2023
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…