7 citations · 23 across the 13 of their papers we have counts for
5 papers · 1 filter
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…
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…