The next seminar “Modelling of materials – theory, model reduction and efficient numerical methods” will take place next Monday (April 1, 2019) in the room K2 from 9:00 till 10:30. The talk will be given by Petr Stehlík . Please see the details below.
Speaker: Petr Stehlík (University of West Bohemia)
Title: Various solution types for reaction-diffusion equations on lattices and graphs
Abstract: We discuss reaction-diffusion equations on lattices and graphs. The motivation comes both from theory (partial discretization) as well as from applications (especially mathematical ecology and population dynamics). We study and focus on properties which distinguish the discrete-space problem from the standard problem on continuous domain. This concerns mainly two solution types. First, we study the rich world of spatially heterogeneous stationary solutions and their stability. In the second part, we introduce the concept of bi- and multichromatic travelling waves on lattices. We observe that both problems are closely related to an interesting algebraic question regarding indefinite perturbations of semidefinite matrices.