Search Results - "Sekatskaya, A. V."
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Local Attractors in a Certain Boundary-Value Problem for the Kuramoto–Sivashinsky Equation
Published in Journal of mathematical sciences (New York, N.Y.) (09-07-2020)“…A boundary-value problem for the generalized Kuramoto–Sivashinsky equation with homogeneous Neumann boundary conditions is considered. The stability of…”
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On the Nature of Local Bifurcations of the Kuramoto–Sivashinsky Equation in Various Domains
Published in Journal of mathematical sciences (New York, N.Y.) (01-05-2024)“…We consider a nonlinear parabolic partial differential equation in the case where the unknown function depends on two spatial variables and time, which is a…”
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Second-Kind Equilibrium States of the Kuramoto–Sivashinsky Equation with Homogeneous Neumann Boundary Conditions
Published in Journal of mathematical sciences (New York, N.Y.) (16-04-2022)“…In this paper, we consider the boundary-value problem for the Kuramoto–Sivashinsky equation with homogeneous Neumann conditions. The problem on the existence…”
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Journal Article