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.
Vanishing viscosity for mixed systems with moving boundaries / Coclite, Giuseppe Maria; Garavello, M.. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 264:7(2013), pp. 1664-1710. [10.1016/j.jfa.2013.01.010]
Vanishing viscosity for mixed systems with moving boundaries
COCLITE, Giuseppe Maria;
2013-01-01
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.File in questo prodotto:
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