3 papers
math.AP2025
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…
math.AP2024
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…
physics.flu-dyn2024
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…