3 papers
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 $…
math.AP2025
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…
math.AP2024
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…