1 citations · 2 across the 13 of their papers we have counts for
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Onsager-Type Energy Equality and Prodi--Serrin Uniqueness for Nernst--Planck Fluid Systems
Ruimeng Hu, Quyuan Lin, Qirui Peng
We study weak solutions of electrodiffusion systems coupling the Nernst--Planck equations with fluid models. First, for the three-dimensional Nernst--Planck--Euler system, we estab…
On the local well-posedness of fractionally dissipated primitive equations with transport noise
Ruimeng Hu, Quyuan Lin, Rongchang Liu
We investigate the three-dimensional fractionally dissipated primitive equations with transport noise, focusing on subcritical and critical dissipation regimes characterized by $ (…
Regularization by noise for the inviscid primitive equations
Ruimeng Hu, Quyuan Lin, Rongchang Liu
The deterministic inviscid primitive equations (also called the hydrostatic Euler equations) are known to be ill-posed in Sobolev spaces and in Gevrey classes of order strictly gre…
On the Three-dimensional Nernst-Planck-Boussinesq System
Elie Abdo, Ruimeng Hu, Quyuan Lin
In this paper, we analyze a three-dimensional Nernst-Planck-Boussinesq (NPB) system that describes ionic electrodiffusion in an incompressible viscous fluid. This new model incorpo…
On the Long-time Dynamics and Ergodicity of the Stochastic Nernst-Planck-Navier-Stokes System
Elie Abdo, Ruimeng Hu, Quyuan Lin
We consider an electrodiffusion model that describes the intricate interplay of multiple ionic species with a two-dimensional, incompressible, viscous fluid subjected to stochastic…