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math.AP2025
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…
math.AP2025
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…
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…