Phase Transitions and Chapman-Jouguet Combustions

Rinaldo M. Colombo () and Andrea Corli ()
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Rinaldo M. Colombo: University of Brescia, Department of Mathematics
Andrea Corli: University of Ferrara, Department of Mathematics

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 463-472 from Springer

Abstract: Abstract We consider a system of conservation laws of the form (1) $$ {{\partial }_{t}}u + {{\partial }_{x}}f(u) = 0, $$ where t ∈ [0,+∞], x ∈ R, u ∈ Ω R n and the function f: Ω ↦ R n is smooth. Ω consists of two connected components, called here phases: (2) $$ \Omega = {{\Omega }_{0}} \cup {{\Omega }_{1}},\quad {{\Omega }_{0}} \cap {{\Omega }_{1}} = \O ,\quad {{\Omega }_{0}} \ne \O ,{{\Omega }_{1}} \ne \O . $$ The system (1) is strictly hyperbolic in Ω and each eigenvalue is either genuinely nonlinear or linearly degenerate.

Keywords: Cauchy Problem; Phase Boundary; Riemann Problem; Riemann Solver; Weak Entropic Solution (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_42

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DOI: 10.1007/978-3-642-55711-8_42

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