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Global solutions to a model for exothermically reacting, compressible flows with large discontinuous initial data

Abstract:
We prove the global existence of solutions of the Navier-Stokes equations describing the dynamic combustion of a compressible, exothermically reacting fluid, and we study the large-time behavior of solutions, giving necessary and sufficient conditions for complete combustion in certain cases. The adiabatic constants and specific heats of the burned (product) and unburned (reactant) fluids may differ, and the initial data may be large and discontinuous.

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Publisher copy:
10.1007/s00205-002-0233-6

Authors


Journal:
Archive for Rational Mechanics and Analysis More from this journal
Volume:
166
Issue:
4
Pages:
321-358
Publication date:
2003-03-01
DOI:
EISSN:
1432-0673
ISSN:
0003-9527


Language:
English
Pubs id:
pubs:203208
UUID:
uuid:f3f0dbfd-a3ae-4b59-9e84-e5014b6405fc
Local pid:
pubs:203208
Source identifiers:
203208
Deposit date:
2012-12-19
ARK identifier:

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