On the flow of chemically reacting gaseous mixture

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On the flow of chemically reacting gaseous mixture

Zatorska, E; (2012) On the flow of chemically reacting gaseous mixture. Journal of Differential Equations , 253 (12) pp. 3471-3500. 10.1016/j.jde.2012.08.043. Green open access

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Abstract

We consider the Cauchy problem for the system of equations governing flow of isothermal reactive mixture of compressible gases. Our main contribution is to prove sequential stability of weak solutions when the state equation essentially depends on the species concentration and the viscosity coefficients vanish on vacuum. Moreover, under additional assumption on the "cold" component of the pressure in the regions of small density, we prove the existence of weak solutions for arbitrary large initial data.

Type:	Article
Title:	On the flow of chemically reacting gaseous mixture
Open access status:	An open access version is available from UCL Discovery
DOI:	10.1016/j.jde.2012.08.043
Publisher version:	http://dx.doi.org/10.1016/j.jde.2012.08.043
Language:	English
Additional information:	This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords:	Multicomponent flow, Chemically reacting gas, Compressible Navier–Stokes system, Weak solutions
UCL classification:	UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
URI:	https://discovery.ucl.ac.uk/id/eprint/10044867