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
Coclite, G., Garavello, M. (2013). Vanishing viscosity for mixed systems with moving boundaries. JOURNAL OF FUNCTIONAL ANALYSIS, 264(7), 1664-1710 [10.1016/j.jfa.2013.01.010].
Vanishing viscosity for mixed systems with moving boundaries
GARAVELLO, MAURO
2013
Abstract
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
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