We consider the slow motion of internal shock layer exhibited by the solution to the initial boundary-value problem for the Jin-Xin system in one space dimension. In this contest, the time-dependent solution drifts towards its steady state in an exponentially long time interval. The derivation of an ODE for the shock layer position is the main tool of our analysis.

METASTABLE DYNAMICS OF INTERFACES FOR THE HYPERBOLIC JIN-XIN SYSTEM

Strani, M
2014

Abstract

We consider the slow motion of internal shock layer exhibited by the solution to the initial boundary-value problem for the Jin-Xin system in one space dimension. In this contest, the time-dependent solution drifts towards its steady state in an exponentially long time interval. The derivation of an ODE for the shock layer position is the main tool of our analysis.
HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS
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.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10278/3717705
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 0
social impact