Jemné analytické a topologické metody pro variační problémy a modelování

Název projektu anglicky
Delicate analytical and topological tools for variational problems and modelling
Anotace anglicky
We study classes of mappings proposed as possible models of deformations in continuum mechanics. Understanding how to approximate deformations with smooth admissible maps is a challenging problem of paramount interest with deep implications in both theory and in the numerical models, which arises in the context of variational models of non-linear elasticity. The closure of reasonable deformations is naturally of interest and opens complex problems about the behaviour of candidates. The project combines experts in different aspects that promises to yield significant results. Isoperimetric problems are a very active field of research in mathematics. These inequalities have been used to model a wide range of physical phenomena including fluid flow, membrane behaviour and subatomic physics. As with many problems in the calculus of variations, the first question is about the existence of minimizers and how (if possible) to characterize them. Despite the intense investigation of renowned mathematicians, a number of interesting problems has been only partially solved.

Kategorie VaV
ZV - Základní výzkum
OECD FORD - hlavní obor
10101 - Pure mathematics
OECD FORD - vedlejší obor
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OECD FORD - další vedlejší obor
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CEP - odpovídající obory <br>(dle <a href="http://www.vyzkum.cz/storage/att/E6EF7938F0E854BAE520AC119FB22E8D/Prevodnik_oboru_Frascati.pdf">převodníku</a>)
BA - Obecná matematika

Důvěrnost údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Systémové označení dodávky dat
CEP23-GA0-GJ-R
Datum dodání záznamu
26. 6. 2023

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