Search Results - "Nepomnyashchy, A.A."

Front-type solutions of fractional Allen–Cahn equation by Nec, Y., Nepomnyashchy, A.A., Golovin, A.A.

“…Super-diffusive front dynamics have been analysed via a fractional analogue of the Allen–Cahn equation. One-dimensional kink shape and such characteristics as…”
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A convective Cahn-Hilliard model for the formation of facets and corners in crystal growth by Golovin, A.A., Davis, S.H., Nepomnyashchy, A.A.

“…We consider solidification into a hypercooled melt in which kinetic undercooling and anisotropic surface energy are present. We allow the anisotropy to be…”
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Dynamics of domain walls governed by the convective Cahn–Hilliard equation by Podolny, A., Zaks, M.A., Rubinstein, B.Y., Golovin, A.A., Nepomnyashchy, A.A.

“…The convective Cahn–Hilliard (CCH) equation, u t + ( u x x + u − u 3 ) x x − ( D / 2 ) ( u 2 ) x = 0 , has been suggested recently for the description of…”
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Beyond rock–paper–scissors systems — Deterministic models of cyclic ecological systems with more than three species by Bayliss, A., Nepomnyashchy, A.A., Volpert, V.A.

“…We consider cyclic ecological systems consisting of more than three species, extending the well-studied three-species rock–paper–scissors (RPS) system. For…”
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Mathematical modeling of cyclic population dynamics by Bayliss, A., Nepomnyashchy, A.A., Volpert, V.A.

“…A rock–paper–scissors three species cyclic ecosystem is considered. Deterministic mathematical models based on delayed ODEs and nonlocal PDEs are proposed and…”
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Groove growth by surface subdiffusion by Abu Hamed, M., Nepomnyashchy, A.A.

“…The investigation of the grain-boundary groove growth by normal surface diffusion was first done by Mullins. However, the diffusion on a solid surface is often…”
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Domain coarsening in a subdiffusive Allen–Cahn equation by Abu Hamed, M., Nepomnyashchy, A.A.

“…Domain coarsening in a one-dimensional bistable system governed by a subdiffusive generalization of the Allen–Cahn equation is considered. Integro-differential…”
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Modulation of Weakly Nonlinear Traveling Waves in the Presence of a Damped Large-Scale Mode by Nepomnyashchy, A. A., Samoilova, A. E.

“…We study the modulation of weakly nonlinear traveling waves in the presence of a damped large-scale mode. The traveling wave is generated by the Marangoni…”
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Modeling the formation of facets and corners using a convective Cahn–Hilliard model by Golovin, A.A., Davis, S.H., Nepomnyashchy, A.A.

“…We consider solidification into a hypercooled melt in the presence of kinetic undercooling and anisotropic surface energy. We allow the anisotropy to be strong…”
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Dynamics of curved fronts in systems with power-law memory by Abu Hamed, M., Nepomnyashchy, A.A.

“…The dynamics of a curved front in a plane between two stable phases with equal potentials is modeled via two-dimensional fractional in time partial…”
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On dynamic excitation of Marangoni instability in a liquid layer with insoluble surfactant on the deformable surface by Mikishev, A.B., Nepomnyashchy, A.A.

“…This paper is a continuation of our previous work presented at the IMA-6, see [1]. We continue to analyze the parametric excitation of Marangoni instability by…”
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Craft culture of guild crimean tatar master of manufacturing traditional leather shoes (on the manuscripts and published materials of by Nepomnyashchy, A.A., Grushetskaya, V.A.

“…Adstract: The authors consider the scientific works of the famous turkologist V.A. Gordlevsky (1876-1956), which are largely preserved in handwritten form, in…”
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Stability of periodic waves generated by subcritical oscillatory instability under the action of feedback control by Kanevsky, Y., Nepomnyashchy, A.A.

“…Periodic solutions of a subcritical cubic complex Ginzburg–Landau equation are considered in the limit of large dispersion and nonlinear frequency shift…”
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Exact solutions in front propagation problems with superdiffusion by Volpert, V.A., Nec, Y., Nepomnyashchy, A.A.

“…Front propagation in a number of reaction–superdiffusion problems is studied. Specifically, traveling wave propagation, domain wall pinning, and systems of…”
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Periodic spatio-temporal oscillations governed by a globally controlled Ginzburg–Landau equation by Kanevsky, Y., Nepomnyashchy, A.A.

“…A new type of periodic oscillations in a globally controlled subcritical cubic complex Ginzburg–Landau equation, formerly observed in numerical simulations, is…”
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A dynamical mother body in a Hele-Shaw problem by Savina, T.V., Nepomnyashchy, A.A.

“…It is well-known that in the framework of the internal Hele-Shaw problem the fluid cannot be fully removed through a single point sink because of a cusp…”
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Dynamics of solitary waves generated by subcritical instability under the action of delayed feedback control by Kanevsky, Y., Nepomnyashchy, A.A.

“…We consider the influence of a global delayed feedback control which acts on a system governed by a subcritical Ginzburg–Landau equation. The method based on a…”
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Marangoni instability of a heated liquid layer in the presence of a soluble surfactant by Shklyaev, S., Nepomnyashchy, A.A.

“… We consider the influence of adsorption kinetics on a longwave oscillatory instability in a layer of a binary liquid heated from below. It is shown that an…”
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Longwave Marangoni instability in a binary mixture under the action of vibration: Influence of the heat transfer on a free surface by Fayzrakhmanova, I.S., Shklyaev, S., Nepomnyashchy, A.A.

“… We study the influence of low-frequency vibration on a longwave Marangoni convection in a layer of a binary mixture with the Soret effect. Heat loss at a…”
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Fractional amplitude and phase dynamics in super-diffusive reaction-diffusion systems by Nec, Y., Nepomnyashchy, A.A., Golovin, A.A.

“…Study of weakly non‐linear dynamics of a reaction–super‐diffusion system near a Hopf bifurcation by means of fractional analogues of complex Ginzburg‐Landau…”
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