9 citations · 27 across the 24 of their papers we have counts for
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Global well-posedness for the 2D primitive equations with subcritical horizontal dissipation
Quyuan Lin, Changhui Tan
We establish global well-posedness of classical solutions to the two-dimensional primitive equations with fractional horizontal dissipation for arbitrarily large initial data in th…
On the Non-isothermal Nernst-Planck-Navier-Stokes System
Elie Abdo, Quyuan Lin
Electrodiffusion has been extensively studied in the isothermal setting, whereas the mathematical theory of thermally coupled electrodiffusion remains comparatively underdeveloped.…
Rigorous justification of the hydrostatic-incompressible approximation for weakly stratified isothermal flow
Quyuan Lin, Xin Liu
We consider the limit of small Mach number and small vertical-to-horizontal aspect ratio for the isothermal compressible Navier-Stokes system. In addition, we consider the scale in…
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…
Unveiling Traffic Wave of Linear Adaptive Cruise Control: A Second-order Macroscopic Traffic Flow Model
Zihao Li, Quyuan Lin, Fan Pu +4
Traffic waves, the spatiotemporal propagation of congestion, are a key feature of traffic flow. As Adaptive Cruise Control (ACC) systems gain widespread adoption and show promise f…
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…
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 $ (…
On the Dirichlet Fractional Laplacian and Applications to the SQG Equation on Bounded Domains
Elie Abdo, Quyuan Lin
We investigate new properties of the fractional Dirichlet Laplacian on smooth bounded domains and establish fractional product estimates and nonlinear Poincaré inequalities. We als…
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…
Global well-posedness and enhanced dissipation for the 2D stochastic Nernst-Planck-Navier-Stokes equations with transport noise
Quyuan Lin, Rongchang Liu, Weinan Wang
In this paper, we consider the 2D stochastic Nernst-Planck-Navier-Stokes equations with transport noise. By assuming the ionic species have the same diffusivity and opposite valenc…
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…
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…
Pathwise Solutions for Stochastic Hydrostatic Euler Equations under the Local Rayleigh Condition
Ruimeng Hu, Quyuan Lin
The hydrostatic Euler equations are important in the study of atmospheric and oceanic dynamics in the planetary scale. While its deterministic version has been widely studied in th…
On the effect of fast rotation and vertical viscosity on the lifespan of the primitive equations
Quyuan Lin, Xin Liu, Edriss S. Titi
We study the effect of the fast rotation and vertical viscosity on the lifespan of solutions to the three-dimensional primitive equations (also known as the hydrostatic Navier-Stok…
Local Martingale Solutions and Pathwise Uniqueness for the Three-dimensional Stochastic Inviscid Primitive Equations
Ruimeng Hu, Quyuan Lin
We study the stochastic effect on the three-dimensional inviscid primitive equations (PEs, also called the hydrostatic Euler equations). Specifically, we consider a larger class of…
Stable Singularity Formation for the Inviscid Primitive Equations
Charles Collot, Slim Ibrahim, Quyuan Lin
The primitive equations (PEs) model large scale dynamics of the oceans and the atmosphere. While it is by now well-known that the three-dimensional viscous PEs is globally well-pos…
On the effect of rotation on the life-span of analytic solutions to the inviscid primitive equations
Tej-Eddine Ghoul, Slim Ibrahim, Quyuan Lin +1
We study the effect of the rotation on the life-span of solutions to the hydrostatic Euler equations with rotation and the inviscid Primitive equations (PEs) on the torus. The…
Finite-time Blowup and Ill-posedness in Sobolev Spaces of the Inviscid Primitive Equations with Rotation
Slim Ibrahim, Quyuan Lin, Edriss S. Titi
Large scale dynamics of the oceans and the atmosphere are governed by the primitive equations (PEs). It is well-known that the three-dimensional viscous PEs is globally well-posed…
On the Well-posedness of Reduced Primitive Geostrophic Adjustment Model with Weak Dissipation
Chongsheng Cao, Quyuan Lin, Edriss S. Titi
In this paper we prove the local well-posedness and global well-posedness with small initial data of the strong solution to the reduced primitive geostrophic adjustment model…