Результаты поиска по 'Einstein—Ehrenfest system':
Найдено статей: 3
  1. Levchenko E.A., Trifonov A.Y., Shapovalov A.V.
    Semiclassical approximation for the nonlocal multidimensional Fisher–Kolmogorov–Petrovskii–Piskunov equation
    Computer Research and Modeling, 2015, v. 7, no. 2, pp. 205-219

    Semiclassical asymptotic solutions with accuracy $O(D^{N/2})$, $N\geqslant3$ are constructed for the multidimensional Fisher–Kolmogorov–Petrovskii–Piskunov equation in the class of trajectory-concentrated functions. Using the symmetry operators a countable set of asymptotic solutions with accuracy $O(D^{3/2})$ is obtained. Asymptotic solutions of two-dimensional Fisher–Kolmogorov–Petrovskii–Piskunov equation are found in explicit
    form.

    Keywords: nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation, asymptotic solution, Einstein— Ehrenfest system.
    Views (last year): 4.
  2. Rezaev R.O., Trifonov A.Y., Shapovalov A.V.
    The Einstein−Ehrenfest system of (0, M)-type and asymptotical solutions of the multidimensional nonlinear Fokker−Planck−Kolmogorov equation
    Computer Research and Modeling, 2010, v. 2, no. 2, pp. 151-160

    Semiclassical approximation formalism is developed for the multidimensional Fokker–Planck–Kolmogorov equation with non-local and nonlinear drift vector with respect to a small diffusion coefficient D, D→0, in the class of trajectory concentrated functions. The Einstein−Ehrenfest system of (0, M)-type is obtained. A family of semiclassical solutions localized around a point driven by the Einstein−Ehrenfest system accurate to O(D(M+1)/2) is found.

    Keywords: nonlinear Fokker−Planck−Kolmogorov equation, semiclassical asymptotics, WKB-Maslov method, Einstein−Ehrenfest system.
    Views (last year): 2.
  3. Levchenko E.A., Trifonov A.Y., Shapovalov A.V.
    Large-time asymptotic solutions of the nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation
    Computer Research and Modeling, 2013, v. 5, no. 4, pp. 543-558

    Asymptotic solutions are constructed for the 1D nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation. Such solutions allow to describe the quasi-steady-state patterns. Similar asymptotic solutions of the dynamical Einstein–Ehrenfest system for the 2D Fisher–Kolmogorov–Petrovskii–Piskunov equation are found. The solutions describe properties of 2D patterns localized on 1D manifolds.

    Keywords: nonlocal Fisher–Kolmogorov–Petrovskii–Piskunov equation, asymptotic solution, pattern formation, Einstein—Ehrenfest system.
    Views (last year): 1. Citations: 3 (RSCI).

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