Study of a model equation in detonation theory: multidimensional effects (Q2810038)
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scientific article; zbMATH DE number 6587736
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Study of a model equation in detonation theory: multidimensional effects |
scientific article; zbMATH DE number 6587736 |
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31 May 2016
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cellular detonation
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detonation analog
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supersonic self-sustained traveling waves
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0.9575692
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0.9003897
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0.88247156
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0.8789322
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0.8730538
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0.87199754
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Study of a model equation in detonation theory: multidimensional effects (English)
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The supersonic self-sustained traveling waves can be a model for detonation waves and arise for fast energy release, which lead to shock waves. The transverse waves effects can not be studied by models based on 1D Burgers equation. A 2D extension of a model introduced in [the authors, ``Model for shock wave chaos'', Phys. Rev. Lett. 110, No. 10, Article ID 104104, 5 p. (2013; \url{doi:10.1103/PhysRevLett.110.104104})] is given in the present paper. Traveling wave solutions are given, related with a solution of stability problem, obtained by using Laplace transform. Numerical examples are considered, proving the instability of transverse perturbations. Multidimensional patterns are pointed out, related with unstable traveling wave solutions. An important element is the source term which describe the effects of the energy release by chemical reactions.
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