A moving boundary problem motivated by electric breakdown, I: Spectrum of linear perturbations
نویسندگان
چکیده
منابع مشابه
A moving boundary problem motivated by electric breakdown, I: Spectrum of linear perturbations
An interfacial approximation of the streamer stage in the evolution of sparks and lightning can be written as a Laplacian growth model regularized by a ‘kinetic undercooling’ boundary condition. We study the linear stability of uniformly translating circles that solve the problem in two dimensions. In a space of smooth perturbations of the circular shape, the stability operator is found to have...
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An interfacial approximation of the streamer stage in the evolution of sparks and lightning can be formulated as a Laplacian growth model regularized by a ‘kinetic undercooling’ boundary condition. Using this model we study both the linearized and the full nonlinear evolution of small perturbations of a uniformly translating circle. Within the linear approximation analytical and numerical resul...
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An interfacial approximation of the streamer stage in the evolution of sparks and lightning can be formulated as a Laplacian growth model regularized by a ’kinetic undercooling’ boundary condition. Using this model we study both the linearized and the full nonlinear evolution of small perturbations of a uniformly translating circle. Within the linear approximation analytical and numerical resul...
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2009
ISSN: 0167-2789
DOI: 10.1016/j.physd.2009.02.012