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Seminar on mathematical modeling in biology and medicine
October 28, 2024 16:30–17:30, It is online (MS TEAMS) now
Moscow, Ordzhonikidze st., build. 3 (Peoples Friendship University of Russia, Faculty of Physics, Mathematics and Natural Sciences), online
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Pulses and waves in reaction-diffusion equations
V. A. Vol'pertab
a Institut Camille Jordan, Université Claude Bernard Lyon 1
b Nikol'skii Mathematical Institute of Peoples' Friendship University of Russia, Moscow
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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.
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