We present a simple 2x2 hyperbolic dissipative system that has many features in common with systems of Extended Thermodynamics. Trough numerical experiments we validate the Brini–Ruggeri conjecture, according to which the Riemann and the Riemann with structure problems converge, for large time, to a combination of shock structures (with or without sub-shocks) and rarefactions of the equilibrium subsystem.
A. Mentrelli, T. Ruggeri (2006). Asymptotic Behavior of Riemann and Riemann with Structure Problems for a 2x2 Hyperbolic Dissipative System. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO. SUPPLEMENTO, 78, 201-226.
Asymptotic Behavior of Riemann and Riemann with Structure Problems for a 2x2 Hyperbolic Dissipative System
MENTRELLI, ANDREA;RUGGERI, TOMMASO ANTONIO
2006
Abstract
We present a simple 2x2 hyperbolic dissipative system that has many features in common with systems of Extended Thermodynamics. Trough numerical experiments we validate the Brini–Ruggeri conjecture, according to which the Riemann and the Riemann with structure problems converge, for large time, to a combination of shock structures (with or without sub-shocks) and rarefactions of the equilibrium subsystem.File in questo prodotto:
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