We study the effects of dispersive stabilization on the compressible Euler equations in Lagrangian coordinates in the one-dimensional torus. We assume a van der Waals pressure law, which presents both hyperbolic and elliptic zones. The dispersive stabilization term is of Schrödinger type. In particular, the stabilized system is complex-valued. It has a conservation law, which, for real unknowns, is identical to the energy of the original physical system. The stabilized system supports high-frequency solutions, with an existence time or an amplitude which depend strongly on the pressure law.
Dispersive stabilization for phase transitions
Strani, Marta;
2021-01-01
Abstract
We study the effects of dispersive stabilization on the compressible Euler equations in Lagrangian coordinates in the one-dimensional torus. We assume a van der Waals pressure law, which presents both hyperbolic and elliptic zones. The dispersive stabilization term is of Schrödinger type. In particular, the stabilized system is complex-valued. It has a conservation law, which, for real unknowns, is identical to the energy of the original physical system. The stabilized system supports high-frequency solutions, with an existence time or an amplitude which depend strongly on the pressure law.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in ARCA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
