- 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...
Expand abstract - Publisher copy:
- 10.1016/S0022-0396(03)00027-5
-
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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
- Copyright date:
- 2003
Journal article
Global entropy solutions to exothermically reacting, compressible Euler equations
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