Diploma thesis is about stationary solutions to reaction-diffusion system of the activator-inhibitor type on a one-dimensional domain. Three homogeneous boudary value problems are studied---with pure Neumann boudary conditions, with mixed Neumann-Dirichlet boudary conditions and with Neumann conditions on the boundary where simultaneously an additional homogeneous condition is prescribed in a given point in the interior of the domain. For all three boudary value problems the existence of so-called critical points (diffusion parameters, for which a non-trivial solution exists) is proved.
Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:187801 |
Date | January 2015 |
Creators | KOUBA, Pavel |
Source Sets | Czech ETDs |
Language | Czech |
Detected Language | English |
Type | info:eu-repo/semantics/masterThesis |
Rights | info:eu-repo/semantics/restrictedAccess |
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