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
2014-01-01
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.
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