Nonlinear stability of strong detonation waves for a dissipative model (Q1283982)
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scientific article; zbMATH DE number 1271367
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| English | Nonlinear stability of strong detonation waves for a dissipative model |
scientific article; zbMATH DE number 1271367 |
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Nonlinear stability of strong detonation waves for a dissipative model (English)
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26 June 2000
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The authors study the asymptotic behavior of solutions to a combustion model of type \[ (u+qz)_t+ f(u)_x = \beta u_{xx},\qquad z_t = -K\phi (u)z+ Dz_{xx}. \] Assuming a small perturbation, they prove the convergence of a travelling strong detonation wave to a strong detonation wave as \(t \rightarrow \infty\).
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travelling wave
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asymptotic stability
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