Search Results - "Shargatov, V. A."

LINEAR STABILITY OF A FILTRATION FLOW WITH GAS–OIL INTERFACE WITHIN THE BRINKMAN APPROACH by Tsypkin, G. G., Shargatov, V. A.

“…— The problem of vertical flow stability in an oil reservoir with a gas cap is considered, when the oil flow obeys the Brinkman equation. Boundary conditions…”
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Characterization and dynamical stability of fully nonlinear strain solitary waves in a fluid-filled hyperelastic membrane tube by Il’íchev, A. T., Shargatov, V. A., Fu, Y. B.

“…We first characterize strain solitary waves propagating in a fluid-filled membrane tube when the fluid is stationary prior to wave propagation and the tube is…”
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On the Structure Stability of a Neutrally Stable Shock Wave in a Gas and on Spontaneous Emission of Perturbations by Kulikovskii, A. G., Il’ichev, A. T., Chugainova, A. P., Shargatov, V. A.

“…We analyze the stability of the structure of a neutrally stable shock wave, which is also referred to as a spontaneously emitting shock wave. We have obtained…”
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Critical Evolution of Finite Perturbations of a Water Evaporation Surface in Porous Media by Gorkunov, S. V., Il’ichev, A. T., Shargatov, V. A.

“…— It is shown that the approximate steady-state solutions, which satisfy the model dissipative equation that describes the process of water evaporation in the…”
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Instability of a liquid–vapor phase transition front in inhomogeneous wettable porous media by Shargatov, V. A.

“…The stability of vertical flows through a horizontally extended two-dimensional region of a porous medium is considered in the case of presence of a phase…”
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Dynamics and Stability of Air Bubbles in a Porous Medium by Shargatov, V. A.

“…A numerical method is developed for reliably computing the evolution of the boundary of a multiply connected water-saturated domain with air bubbles in the…”
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Stability of an aneurysm in a membrane tube filled with an ideal fluid by Il’ichev, A. T., Shargatov, V. A.

“…The stability of standing localized structures formed in an axisymmetric membrane tube filled with fluid is studied. It is assumed that the tube wall is…”
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Traveling waves and undercompressive shocks in solutions of the generalized Korteweg–de Vries–Burgers equation with a time-dependent dissipation coefficient distribution by Chugainova, A. P., Shargatov, V. A.

“…Solutions of the generalized KdV–Burgers equation are analyzed in the case when the dissipation coefficient depends on the spatial coordinate and time…”
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Structures of Classical and Special Discontinuities for the Generalized Korteweg–de Vries–Burgers Equation in the Case of a Flux Function with Four Inflection Points by Shargatov, V. A., Chugainova, A. P., Tomasheva, A. M.

“…We study the structure of the set of traveling wave solutions for the generalized Korteweg–de Vries–Burgers equation with the flux function having four…”
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On the Instability of Monotone Traveling-Wave Solutions for a Generalized Korteweg–de Vries–Burgers Equation by Chugainova, A. P., Kolomiytsev, G. V., Shargatov, V. A.

“…For a generalized Korteweg–de Vries–Burgers equation with a flux function having two inflection points, we construct an example in which three different…”
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Influence of capillary pressure gradient on connectivity of flow through a porous medium by Tsypkin, G.G., Shargatov, V.A.

“…•New physical mechanism of flow fragmentation in porous media is proposed.•Nonlinear deformation of the boundaries may lead to splitting and merging of…”
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Stability of discontinuity structures described by a generalized KdV–Burgers equation by Chugainova, A. P., Shargatov, V. A.

“…The stability of discontinuities representing solutions of a model generalized KdV–Burgers equation with a nonmonotone potential of the form φ( u ) = u 4 – u 2…”
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Analytical description of the structure of special discontinuities described by a generalized KdV–Burgers equation by Chugainova, A.P., Shargatov, V.A.

“…•New exact traveling wave solutions of a generalized KdV–Burgers equation are constructed.•The nonlinearity is specified as a piecewise linear flux function…”
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Stability of nonstationary solutions of the generalized KdV-Burgers equation by Chugainova, A. P., Shargatov, V. A.

“…The stability of nonstationary solutions to the Cauchy problem for a model equation with a complex nonlinearity, dispersion, and dissipation is analyzed. The…”
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Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity by Kulikovskii, A. G., Chugainova, A. P., Shargatov, V. A.

“…Solutions of the Riemann problem for a generalized Hopf equation are studied. The solutions are constructed using a sequence of non-overturning Riemann waves…”
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Spontaneously Radiating Shock Waves by Kulikovskiy, A. G., Il’ichev, A. T., Chugainova, A. P., Shargatov, V. A.

“…In this paper, we built a solution representing the structure of a spontaneously radiating shock wave and studied its stability in the linear approximation. We…”
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Filtration-Flow Fragmentation in Medium with Capillary-Pressure Gradient by Shargatov, V. A., Tsypkin, G. G., Bogdanova, Yu. A.

“…The deformation of a water-saturated region during filtration in a porous medium with variable capillary pressure is considered. The numerical calculations…”
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Dynamics of front-like water evaporation phase transition interfaces by Shargatov, V.A., Gorkunov, S.V., Il’ichev, A.T.

“…•We study global dynamics of phase transition evaporation interfaces in the form of traveling fronts in horizontally extended domains of porous layers where a…”
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Flow Structure behind a Shock Wave in a Channel with Periodically Arranged Obstacles by Shargatov, V. A., Chugainova, A. P., Gorkunov, S. V., Sumskoi, S. I.

“…We study the propagation of a pressure wave in a rectangular channel with periodically arranged obstacles and show that a flow corresponding to a discontinuity…”
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Dynamics of water evaporation fronts by Il’ichev, A. T., Shargatov, V. A.

“…The evolution and shapes of water evaporation fronts caused by long-wave instability of vertical flows with a phase transition in extended two-dimensional…”
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