Article ID Journal Published Year Pages File Type
4617507 Journal of Mathematical Analysis and Applications 2012 14 Pages PDF
Abstract

In this paper, we consider a periodic generalized Hunter–Saxton equation. We obtain the existence of global weak solutions to the equation. First, we give the well-posedness result of the viscous approximate equations and establish the basic energy estimates. Then, we show that the limit of the viscous approximation solutions is a global weak solution to the equation.

Related Topics
Physical Sciences and Engineering Mathematics Analysis