Yuan Xu

activity

20102026

most citedOn the Clifford-Fourier transform

12 citations · 12 across the 3 of their papers we have counts for

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2 papers · 1 filter

math.AP2026

$L^{2} - L^{\infty}$ decay estimates and inviscid limits for Global smooth solutions to the compressible Navier-Stokes-Riesz system

Agnieszka Świerczewska-Gwiazda, Yuan Xu, Junhao Zhang

We study the Cauchy problem in $R^{3}$ for the repulsive compressible Navier-Stokes-Riesz system with Riesz exponent $0 < s < 1$ and viscosity $0 < ε \leq 1$ , where the…

math.AP2024

On the near soliton dynamics for the 2D cubic Zakharov-Kuznetsov equations

Gong Chen, Yang Lan, Xu Yuan

In this article, we consider the Cauchy problem for the cubic (mass-critical) Zakharov-Kuznetsov equations in dimension two: $$\partial_t u+\partial_{x_1}(Δu+u^3)=0,\quad (t,x)\in…

L2−L∞ decay estimates and inviscid limits for Global smooth solutions to the compressible Navier-Stokes-Riesz system

On the near soliton dynamics for the 2D cubic Zakharov-Kuznetsov equations

$L^{2} - L^{\infty}$ decay estimates and inviscid limits for Global smooth solutions to the compressible Navier-Stokes-Riesz system