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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
Global Dynamic Patterns of Entropy Solutions for One-dimensional Pressureless Euler System
Gaowei Cao, Kai Hu, Feimin Huang +1
In this paper, we are concerned with the fine properties of entropy solutions of the Cauchy problem for the one-dimensional pressureless Euler system, wherein the initial density $…