Yuan Xu

activity

20102026

most citedOn the Clifford-Fourier transform

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

collaborators

4 papers

math.GN2026

Topological extensions of elementary measurable spaces

Nidaa Hasan Haji, Abdolaziz Hesari

An elementary space is a pair $(X, A)$ , where $A$ is an algebra of subsets of $X$ . Every elementary space $(X, A)$ is naturally a topological space when…

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…

math.CA2010★ 12 cited

On the Clifford-Fourier transform

H. De Bie, Y. Xu

For functions that take values in the Clifford algebra, we study the Clifford-Fourier transform on $R^{m}$ defined with a kernel function $K(x,y) := e^{\frac{i π}{2} Γ_{y}}e^{-i <x,y…

Topological extensions of elementary measurable spaces

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

On the Clifford-Fourier transform

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