9 citations · 27 across the 24 of their papers we have counts for
28 papers
Spectral gap for the stochastic primitive equations under degenerate Brownian forcing
Quyuan Lin, Rongchang Liu, Kening Lu
We prove a weighted Wasserstein spectral gap for the three-dimensional primitive equations on under finite-rank additive Brown…
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…
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 $ (…
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…
A PDE Perspective on Approximating Nonlocal Periodic Operators with Applications on Neural Networks for Critical SQG Equations
Elie Abdo, Ruimeng Hu, Quyuan Lin
Nonlocal periodic operators in partial differential equations (PDEs) pose challenges in constructing neural network solutions, which typically lack periodic boundary conditions. In…
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…
Estimation of Anisotropic Viscosities for the Stochastic Primitive Equations
Igor Cialenco, Ruimeng Hu, Quyuan Lin
The viscosity parameters play a fundamental role in applications involving stochastic primitive equations (SPE), such as accurate weather predictions, climate modeling, and ocean c…
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…
Higher-Order error estimates for physics-informed neural networks approximating the primitive equations
Ruimeng Hu, Quyuan Lin, Alan Raydan +1
Large-scale dynamics of the oceans and the atmosphere are governed by primitive equations (PEs). Due to the nonlinearity and nonlocality, the numerical study of the PEs is generall…
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…