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March 2009 Fluid-dynamc model equations for a gas with slow reversible biomolecular reactions
Maria Groppi, Alberto Rossani, Giampiero Spiga
Commun. Math. Sci. 7(1): 143-163 (March 2009).


The dispersion relation and shock structure of a gas mixture undergoing a bimolecular chemical reaction are studied by means of a hydrodynamic model deduced from the relevant kinetic equations. Qualitative changes in the solution, in particular loss of smoothness, for varying parameters (including Mach number and strength of the chemical reaction rate) are investigated, and numerical results are presented. In the limits of vanishing or diverging reactive relaxation times the “equilibrium” and “frozen” thermodynamical situations are recovered.


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Maria Groppi. Alberto Rossani. Giampiero Spiga. "Fluid-dynamc model equations for a gas with slow reversible biomolecular reactions." Commun. Math. Sci. 7 (1) 143 - 163, March 2009.


Published: March 2009
First available in Project Euclid: 27 March 2009

zbMATH: 1173.82357
MathSciNet: MR2512837

Primary: 76A02 , 76L05 , 76V05 , 82C40

Keywords: dispersion relation , Hydrodynamic limits , Reactive gas mixtures , shock wave structure

Rights: Copyright © 2009 International Press of Boston

Vol.7 • No. 1 • March 2009
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