Diffusive Relaxation Limit for Hyperbolic Systems

Corrado Lattanzio ()
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Corrado Lattanzio: Università di L’Aquila, Sezione di Matematica per l’Ingegneria Dipartimento di Matematica Pura ed Applicata

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 396-403 from Springer

Abstract: Abstract The aim of this paper is to collect some results concerning relaxation limits of hyperbolic systems of balance laws toward parabolic equilibrium systems. More precisely, we will discuss BGK approximations for strongly parabolic systems in the case of weak solutions, by means of compensated compactness techniques. Moreover, we will study the case of a semilinear relaxation approximation to a 2×2 hyperbolic-parabolic equilibrium system, with applications to viscoelasticity, in the case of classical solutions in one and several space variables. The latter case will be used as a case study to apply the modulated energy estimates.

Keywords: Weak Solution; Strong Convergence; Smooth Solution; Hyperbolic System; Parabolic System (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_34

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DOI: 10.1007/978-3-540-34288-5_34

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