## Communications in Mathematical Sciences

- Commun. Math. Sci.
- Volume 7, Number 1 (2009), 143-163.

### Fluid-dynamc model equations for a gas with slow reversible biomolecular reactions

Maria Groppi, Alberto Rossani, and Giampiero Spiga

#### Abstract

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.

#### Article information

**Source**

Commun. Math. Sci., Volume 7, Number 1 (2009), 143-163.

**Dates**

First available in Project Euclid: 27 March 2009

**Permanent link to this document**

https://projecteuclid.org/euclid.cms/1238158609

**Mathematical Reviews number (MathSciNet)**

MR2512837

**Zentralblatt MATH identifier**

1173.82357

**Subjects**

Primary: 82C40: Kinetic theory of gases 76V05: Reaction effects in flows [See also 80A32] 76A02: Foundations of fluid mechanics 76L05: Shock waves and blast waves [See also 35L67]

**Keywords**

Reactive gas mixtures shock wave structure dispersion relation hydrodynamic limits

#### Citation

Groppi, Maria; Rossani, Alberto; Spiga, Giampiero. Fluid-dynamc model equations for a gas with slow reversible biomolecular reactions. Commun. Math. Sci. 7 (2009), no. 1, 143--163. https://projecteuclid.org/euclid.cms/1238158609