5 papers
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…
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…
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…
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…
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…