9 citations · 27 across the 24 of their papers we have counts for
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On the Profile of Singularity Formation for the Incompressible Hydrostatic Boussinesq system
Slim Ibrahim, Quyuan Lin, Lingjun Qian +1
The primitive equations (PEs) model planetary large-scale oceanic and atmospheric dynamics. While it has been shown that there are smooth solutions to the inviscid PEs (also called…
Well-posedness and ill-posedness of the primitive equations with fractional horizontal dissipation
Elie Abdo, Quyuan Lin, Changhui Tan
The primitive equations (PE) are a fundamental model in geophysical fluid dynamics. While the viscous PE are globally well-posed, their inviscid counterparts are known to be ill-po…
Electroconvection in a Magnetic Field
Elie Abdo, Peter Constantin, Mihaela Ignatova +1
Electroconvection in a porous medium under a strong transversal magnetic field is described by an active scalar equation for the charge density. The equation has global weak soluti…
Analysis and Numerical Approximation to Interactive Dynamics of Navier Stokes-Plate Interaction PDE System
Pelin G. Geredeli, Quyuan Lin, Dylan Mcknight +1
We consider a Navier-Stokes fluid-plate interaction (FSI) system which describes the evolutions of the fluid contained within a 3D cavity, as it interacts with a deformable elastic…
Averaging principle for the stochastic primitive equations in the large rotation limit
Quyuan Lin, Rongchang Liu, Vincent R. Martinez
It is known that the unique ergodicity of the viscous primitive equations with additive white-in-time noise remains an open problem. In this work, we demonstrate that, as the rotat…
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 $ (…