activity
20192026
most citedOn the effect of fast rotation and vertical viscosity on the lifespan of the primitive equations

9 citations · 27 across the 24 of their papers we have counts for

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Showing 2026Show all

6 papers · 1 filter

math.PR2026

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…

math.AP2026

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…

math.AP2026

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.…

math.AP2026

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…

math.AP2026

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…

math.AP2026

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…