Seminars: V. A. Vol'pert, Pulses and waves in reaction-diffusion equations

SEMINARS


Seminar on mathematical modeling in biology and medicine October 28, 2024 16:30, It is online (MS TEAMS) now Moscow, Ordzhonikidze st., build. 3 (Peoples Friendship University of Russia, Faculty of Physics, Mathematics and Natural Sciences), online

Pulses and waves in reaction-diffusion equations V. A. Vol'pert^ab ^a Institut Camille Jordan, Université Claude Bernard Lyon 1 ^b Nikol'skii Mathematical Institute of Peoples' Friendship University of Russia, Moscow
Abstract: Pulses and waves in reaction-diffusion systems arise in various applications. We will discuss their existence and stability for some classes of reaction-diffusion systems using the theory of elliptic and parabolic problems in unbounded domains, the theory of Fredholm operators, spectral properties, topological degree. We will illustrate various applications of these results and discuss further perspectives and open questions.