collaborators

5 papers

math.AP2026

Radial pressureless Euler flow: structure and stability of absorption at the origin

Gaowei Cao, Feimin Huang, Guirong Tang

We study absorption at the origin in radial pressureless Euler flow in , . For rotation-invariant nonnegative locally finite initial mass and bounded radial i…

math.AP2026

One-dimensional pressureless flow with a nonlinear velocity law: Bregman variational construction and well-posedness

Gaowei Cao, Feimin Huang, Guirong Tang

We establish global existence, uniqueness and quantitative stability for one-dimensional pressureless flow governed by \[ \partial_tρ+\partial_x\bigl(ρf(u)\bigr)=0, \qquad \partial…

math.AP2026

Positive-regularity norm inflation for the 3D hypodissipative Navier--Stokes equations

Guirong Tang, Shiyang Xiong

We prove same-space norm inflation for the three-dimensional hypodissipative Navier--Stokes equations with dissipation , . Let and \[ 0<s<1-2α+\frac3…

math.AP2025

Zero-relaxation and vanishing-damping limits of pressureless Euler system

Guirong Tang

We are concerned with the one-dimensional pressureless Euler system with relaxation in the Radon measure space. As the relaxation time tends to zero, the entropy solution converges…

math.AP2025

Relaxation limit of pressureless Euler-Poisson equations

GuiRong Tang

We investigate the relaxation problem for the one-dimensional pressureless Euler--Poisson equations with the initial density being a finite Radon measure. The entropy solution of t…