2 papers
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.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…