Open Access
September 2006 On the existence of transient solutions of a tunnel fire model
Ingenuin Gasser, Herbert Steinrück
Commun. Math. Sci. 4(3): 609-619 (September 2006).


In this paper we present a global existence and uniqueness result of solutions to a system consisting of a coupled nonlinear PDE and a nonlinear ODE. This system is a one-dimensional fluiddynamic model for tunnel fires and was presented in I. Gasser and J. Struckmeier and then analyzed in I. Gasser and in I. Gasser and H. Steinrück with respect to the applications


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Ingenuin Gasser. Herbert Steinrück. "On the existence of transient solutions of a tunnel fire model." Commun. Math. Sci. 4 (3) 609 - 619, September 2006.


Published: September 2006
First available in Project Euclid: 5 April 2007

zbMATH: 1120.76054
MathSciNet: MR2247933

Primary: 76N15
Secondary: 35L60 , 35Q35 , 76V05 , 80Axx

Keywords: fire in tunnels , Gasdynamics , low Mach number

Rights: Copyright © 2006 International Press of Boston

Vol.4 • No. 3 • September 2006
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