Stability in a two-dimensional combustion model
Copyright policy )Stability in a two-dimensional combustion model
Summary: We study the stability of a planar travelling wave in the two-dimensional nearly equidiffusional flame combustion model when the reduced Lewis number is equal to zero. The functional analytic setting consists of spaces of suitably exponentially weighted Hölder continuous functions. By exploiting the appearance of the integrated Burgers equation in the equations for perturbations of the wave we avoid the usual assumption that the perturbation must be localized in the lateral space coordinate.
- National Institute for Nuclear Physics Italy
- Vrije Universiteit Amsterdam Netherlands
- University of Parma Italy
- Mathematics, Mathematical Analysis Netherlands
Aurora Universities Network, Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, stability of travelling waves, Applied Mathematics, fully nonlinear parabolic problems, Free boundary problems for PDEs, Combustion, nearly equidiffusional flame combustion model, Stability theory for smooth dynamical systems, Stability in context of PDEs, Netherlands, Burgers equation
Aurora Universities Network, Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, stability of travelling waves, Applied Mathematics, fully nonlinear parabolic problems, Free boundary problems for PDEs, Combustion, nearly equidiffusional flame combustion model, Stability theory for smooth dynamical systems, Stability in context of PDEs, Netherlands, Burgers equation
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