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Evolution of initial distributions with one and two centers in a two-dimensional model of the reaction-diffusion type with a nonlocal interaction of finite radius

  • Elementary Particle Physics and Field Theory
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Russian Physics Journal Aims and scope

Solutions of a generalized Fisher–Kolmogorov–Petrovskii–Piskunov equation for a nonlocal interaction of finite radius have been constructed for initial conditions with one and two localization centers by using numerical methods. The dynamics depends on the choice of the equation parameters and initial conditions. The processes of formation and interaction of the rings expanding from each of the two localization centers and the formation of dissipative structures are considered.

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Authors and Affiliations

  1. Tomsk State University, Tomsk, Russia

    A. V. Borisov & A. V. Shapovalov

  2. National Research Tomsk Polytechnic University, Tomsk, Russia

    A. Yu. Trifonov

Authors
  1. A. V. Borisov
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  2. A. Yu. Trifonov
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  3. A. V. Shapovalov
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Correspondence to A. V. Borisov.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 30–35, January, 2011.

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Borisov, A.V., Trifonov, A.Y. & Shapovalov, A.V. Evolution of initial distributions with one and two centers in a two-dimensional model of the reaction-diffusion type with a nonlocal interaction of finite radius. Russ Phys J 54, 32–38 (2011). https://doi.org/10.1007/s11182-011-9575-6

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  • DOI: https://doi.org/10.1007/s11182-011-9575-6

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