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Global entropy solutions to exothermically reacting, compressible Euler equations

Abstract:

The global existence of entropy solutions is established for the compressible Euler equations for one-dimensional or plane-wave flow of an ideal gas, which undergoes a one-step exothermic chemical reaction under Arrhenius-type kinetics. We assume that the reaction rate is bounded away from zero and the total variation of the initial data is bounded by a parameter that grows arbitrarily large as the equation of state converges to that of an isothermal gas. The heat released by the reaction cau...

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Journal:
Journal of Differential Equations
Volume:
191
Issue:
2
Pages:
277-322
Publication date:
2003-07-01
DOI:
ISSN:
0022-0396
URN:
uuid:9f70d8ac-f1fa-4b85-99a8-6d6fd7fc9859
Source identifiers:
203200
Local pid:
pubs:203200
Language:
English

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