Article ID Journal Published Year Pages File Type
4590633 Journal of Functional Analysis 2013 47 Pages PDF
Abstract

We consider a system of scalar balance laws in one space dimension coupled with a system of ordinary differential equations. The coupling acts through the (moving) boundary condition of the balance laws and the vector fields of the ordinary differential equations. We prove the existence of solutions for such systems passing to the limit in a vanishing viscosity approximation.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory