%0 Journal Article
%A ZHANG Qian
%A ZHAO Yin-Chuan
%T Local Structure of the Solutions to One-Dimensional Zero-Pressure Flow Equations
%D 2012
%R 10.3969/j.issn.1007-2985.2012.05.005
%J Journal of Jishou University(Natural Sciences Edition)
%P 19-22
%V 33
%N 5
%X This paper is concerned with one-dimensional zero-pressure flow equations.By introducing a potential function and discussing its minimizing point,the following conclusions on the local structure of the solution are drawn for each point (*x,t)∈***R**×(0,∞).When potential function has a uniqe non-degenerate minimizing point,solutions are smooth in the neighborhood of *(x,t);*When potential function has more than two non-degenerate minimizing points or a uniqe degenerate minimizing point,solutions are discontinuous in the neighborhood of *(x,t).*
%U https://zkxb.jsu.edu.cn/EN/10.3969/j.issn.1007-2985.2012.05.005