Journal article
Stability of a transonic profile arising from divergent detonations: Stability of a transonic profile arising
Communications in partial differential equations, Vol.25(11-12), pp.2087-2105
01/01/2000
DOI: 10.1080/03605300008821578
Abstract
We establish the existence of viscous profile of an undriven divergent detonation wave. The structure of the wave is a viscous shock followed by a reaction zone containing a sonic point. So the divergent detonation wave profile is a transonic profile.
We further establish the existence of classical global solutions of the Cauchy problem. The proof consists of establishing a priori estimates for the solution by a maximum principle and using Hölder estimates for solutions of parabolic equations. Finally, the nonlinear stability of the viscous transonic profile is established. The main reason for the stability is that there is a damping term due to the divergent nature of the problem.
Details
- Title: Subtitle
- Stability of a transonic profile arising from divergent detonations: Stability of a transonic profile arising
- Creators
- Tong Li
- Resource Type
- Journal article
- Publication Details
- Communications in partial differential equations, Vol.25(11-12), pp.2087-2105
- Publisher
- Marcel Dekker, Inc
- DOI
- 10.1080/03605300008821578
- ISSN
- 0360-5302
- eISSN
- 1532-4133
- Language
- English
- Date published
- 01/01/2000
- Academic Unit
- Mathematics
- Record Identifier
- 9984240766302771
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