7 citations · 23 across the 13 of their papers we have counts for
14 papers
Kružkov-type uniqueness theorem for a non-monotone flow function case with application to Riemann problem solutions
Yulia Petrova, Nikita Rastegaev
We generalize the previously obtained Kružkov-type uniqueness result for the initial-boundary value problem for the chemical flood conservation law system to the case of an almost…
Oil displacement by slug injection: a rigorous justification for the Jouguet principle heuristic
Sergey Matveenko, Nikita Rastegaev
In this paper we discuss a one-dimensional model for two-phase Enhanced Oil Recovery (EOR) floods, primarily for the polymer flood. We improve upon the method for the construction…
Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones
A. I. Nazarov, N. V. Rastegaev
The symmetry breaking is obtained for Neumann problems driven by -Laplacian in certain non-convex cones. These problems are generated by the Hardy--Sobolev inequalities. In the…
Kružkov-type uniqueness theorem for the chemical flood conservation law system with local vanishing viscosity admissibility
Sergey Matveenko, Nikita Rastegaev
We study the uniqueness of solutions of the initial-boundary value problem in the quarter-plane for the chemical flood conservation law system in the class of piece-wise $\mathcal…
Velocity of viscous fingers in miscible displacement: Intermediate concentration
Fedor Bakharev, Aleksandr Enin, Sergey Matveenko +4
We investigate one-phase flow in porous medium corresponding to a miscible displacement process in which the viscosity of the injected fluid is smaller than the viscosity in the re…
On the sufficient conditions for the S-shaped Buckley-Leverett function
Nikita Rastegaev
The flux function in the Buckley-Leverett equation, that is, the function characterizing the ratio of the relative mobility functions of the two phases, is considered. The common c…
Impact of dissipation ratio on vanishing viscosity solutions of the Riemann problem for chemical flooding model
F. Bakharev, A. Enin, Yu. Petrova +1
The solutions for a Riemann problem arising in chemical flooding models are studied using vanishing viscosity as an admissibility criterion. We show that when the flow function dep…
Optimal polymer slugs injection profiles
F. Bakharev, A. Enin, K. Kalinin +3
The graded viscosity banks technology (tapering) for polymer flooding is studied for several different models of mixing zones behavior. Depending on the viscosity function the limi…
On the spectrum of the Sturm-Liouville problem with arithmetically self-similar weight
N. V. Rastegaev
Spectral asymptotics of the Sturm-Liouville problem with an arithmetically self-similar singular weight is considered. Previous results by A. A. Vladimirov and I. A. Sheipak, and a…
On uniqueness in Steiner problem
Mikhail Basok, Danila Cherkashin, Nikita Rastegaev +1
We prove that the set of -point configurations for which the solution of the planar Steiner problem is not unique has the Hausdorff dimension at most (as a subset of $\ma…
On spectral asymptotics of the tensor product of operators with almost regular marginal asymptotics
N. V. Rastegaev
Spectral asymptotics of a tensor product of compact operators in Hilbert space with known marginal asymptotics is studied. Methods of A. Karol', A. Nazarov and Ya. Nikitin (Trans.…
On spectral asymptotics of the Sturm-Liouville problem with self-conformal singular weight
U. R. Freiberg, N. V. Rastegaev
Spectral asymptotics of the Sturm-Liouville problem with a singular self-conformal weight measure is considered. A stronger version of the bounded distortion property is assumed fo…
On spectral asymptotics of the Neumann problem for the Sturm-Liouville equation with self-similar generalized Cantor type weight
Nikita V. Rastegaev
Spectral asymptotics of the Neumann problem for the Sturm-Liouville equation with generalized derivative of a self-similar generalized Cantor type function as a weight are consider…
On the asymptotics of integrals related to the generalized Cantor ladder
Alexander I. Nazarov, Nikita V. Rastegaev
The Cantor ladder is naturally included into various families of self-similar functions. In the frame of these families we study the asymptotics of some parametric integrals.