Spikelike contrast structures in the parabolic system of two singularly perturbed equations (Q1975761)

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scientific article; zbMATH DE number 1438767
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Spikelike contrast structures in the parabolic system of two singularly perturbed equations
scientific article; zbMATH DE number 1438767

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    Spikelike contrast structures in the parabolic system of two singularly perturbed equations (English)
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    4 May 2000
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    In this paper the author considers contrast structures solutions described by various singularly perturbed partial differential equations. For a parabolic system of two singularly perturbed equations with derivatives multiplied by different powers of a small parameter, asymptotic expansions of solutions characterized by spikelike behavior of one or both components in the neighborhood of a time-dependent point are constructed.
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    different powers of small parameter
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