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Article Dans Une Revue Nonlinear Analysis: Theory, Methods and Applications Année : 2014

Existence and asymptotics of travelling waves in a thermo-diffusive model in half-cylinders. Part II: Oblique boundary conditions

Yannick Sire
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Résumé

In this paper, we investigate a system of reaction–diffusion equations set in half-cylinders and involving oblique boundary conditions. This type of system arises in the modelization of burner flames and approach in a suitable sense conical-shaped fronts in the whole space. We prove the existence of solutions and some properties of the speed of propagation of the travelling fronts in some asymptotic limit.
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hal-01340189 , version 1 (30-06-2016)

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Yannick Sire. Existence and asymptotics of travelling waves in a thermo-diffusive model in half-cylinders. Part II: Oblique boundary conditions. Nonlinear Analysis: Theory, Methods and Applications, 2014, 101, pp.16--36. ⟨10.1016/j.na.2014.01.015⟩. ⟨hal-01340189⟩
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