Katedra matematiky / Department of Mathematics

Kolekce


Recent Submissions

Zahradníková, Michaela
Postupné vlny v kvazilineárních reakčně-difuzních rovnicích

This thesis concerns scalar reaction-diffusion equations with p-Laplacian type diffusion and different types of continuous reaction. In our general setting, the density-dependent diffusion coefficient allows for degenerations and singularities at equilibria 0 and 1 as well as finitely many jump d...

Moskovka, A. , Frost, M. , Valdman, J.
Numerical minimization of energy functionals in continuum mechanics using hp-FEM in MATLAB

Frost, M. , Moskovka, A. , Sedlák, P. , Valdman, J.
Numerical implementation of incremental minimization principle for materials with multiple rate-independent dissipative mechanisms

Stehlík, Petr , Švígler, Vladimír , Volek, Jonáš
Bifurcations in Nagumo Equations on Graphs and Fiedler Vectors

Reaction-diffusion equations serve as a basic framework for numerous dynamic phenomena like pattern formation and travelling waves. Spatially discrete analogues of Nagumo reaction-diffusion equation on lattices and graphs provide insights how these phenomena are strongly influenced by the discrete and...

Stehlík, Petr , Švígler, Vladimír , Volek, Jonáš
Source-sink dynamics on networks: Persistence and extinction

Dynamics of populations with logistic growth leads to global persistence on arbitrary networks, whereas bistable dynamics is always associated with local extinction. In this paper we study a reaction-diffusion model on networks with a combination of both logistic and bistable reactions. We&#...