30.10.2026 Растегаев Н.В.

Заседание 30 октября 2026 года в 15 часов Доклад: «Kružkov-type uniqueness theorem for the chemical flood conservation law system. Generalizations and applications» Докладчик: Растегаев Никита Владимирович, к.ф.-м.н., научный сотрудник Санкт-Петербургского международного математического института им. Леонарда Эйлера (подразделение СПбГУ). Аннотация: We consider the 2x2 system most commonly used to describe the flood of the oil reservoir with a chemical solution, with S-shaped flow function $f(s,c)$ and a concave adsorption isotherm. In the previous work we used the Lagrange coordinate change to prove a Kružkov-type uniqueness theorem for the Cauchy problem with several limitations on problem parameters (e. g. function $f$ monotone in $c$) and the initial data and the class of weak solutions under consideration. The local vanishing viscosity method is utilized to determine admissible shocks. Now we generalize this theorem to a weaker set of restrictions (including flow functions $f$ that are not S-shaped and not monotone with respect to $c$) and apply it to the Riemann problem. This talk is based on the joint works with S. G. Matveenko and Yu. P. Petrova.