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Analýza evolučních úloh s omezeným gradientem / Analysis of evolutionary problems with bounded gradients

We study nonlinear evolutionary partial differential equations that can be viewed as a generalization of the heat equation where the temperature gradient is bounded but the heat flux is apriori only a measure. We consider this system in spatially periodic setting and use higher differentiability techniques to prove the existence and uniqueness of weak solution with integrable heat-flux for all values of the material parameter a. Under some more restrictive assumptions on a, we prove higher integrability of the heat flux. 1

Identiferoai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:406184
Date January 2019
CreatorsHruška, David
ContributorsMálek, Josef, Kaplický, Petr
Source SetsCzech ETDs
LanguageEnglish
Detected LanguageEnglish
Typeinfo:eu-repo/semantics/masterThesis
Rightsinfo:eu-repo/semantics/restrictedAccess

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