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…
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 $…
Well-Posedness of the Cauchy Problem for First-order Quasilinear Equations with Non-Lipschitz Source Terms and Its Applications
Gaowei Cao, Gui-Qiang G. Chen, Wei Xiang +1
We are concerned with the well-posedness of the Cauchy problem for the first-order quasilinear equations with non-Lipschitz source terms and the global structures of the multi-dime…
New Formula for Entropy Solutions for Scalar Hyperbolic Conservation Laws with Flux Functions of Convexity Degeneracy and Global Dynamic Patterns of Solutions
Gaowei Cao, Gui-Qiang G. Chen, Xiaozhou Yang
We are concerned with a new solution formula and its applications to the analysis of properties of entropy solutions of the Cauchy problem for one-dimensional scalar hyperbolic con…