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Exact periodic and localized solutions of the equationh t =Δ inh

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

New exact regular solutions of the nonlinear-diffusion equation are found. Various types of evolution of certain classes of localized initial perturbations are described. We show that, when a localized distribution in the form of a ring is specified, the instantaneous occurrence of the singularity in its center results from the diffusive spreading.

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Authors
  1. S. N. Aristov
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Additional information

Institute of Mechanics of Continua, Ural Division, Russian Academy of Sciences, Perm' 614013. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 1, pp. 22–26, January–February, 1999.

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Aristov, S.N. Exact periodic and localized solutions of the equationh t =Δ inh . J Appl Mech Tech Phys 40, 16–19 (1999). https://doi.org/10.1007/BF02467967

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  • DOI: https://doi.org/10.1007/BF02467967

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