Stability and Instability Issues for Relaxation Shock Profiles

C. Mascia ()
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C. Mascia: Università di Roma “La Sapienza”, Dipartimento di Matematica “G. Castelnuovo”

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 173-185 from Springer

Abstract: A hyperbolic system with relaxation is a system of partial differential equations of hyperbolic type with a zero-order term, describing the relaxation mechanism toward a given equilibrium. After hyperbolic rescaling, the system can be thought as a dynamical system with two time scales: the fast one is governed mainly by the kinetic part of the system itself and it drives the solution toward the equilibrium manifold, the slow one is described by a reduced hyperbolic system of conservation laws.

Keywords: Asymptotic Stability; Hyperbolic System; Spectral Stability; Instability Issue; Equilibrium Manifold (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_14

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DOI: 10.1007/978-3-540-75712-2_14

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