Nonlinear classes of mappings: properties and approximation
| Thesis title in Czech: | Nelineární třídy zobrazení: vlastnosti a aproximace |
|---|---|
| Thesis title in English: | Nonlinear classes of mappings: properties and approximation |
| Key words: | aproximace funkcí|sobolevovské homeomorfismy|nelineární elasticita |
| English key words: | approximation of functions|Sobolev homeomorphisms|Nonlinear Elasticity |
| Academic year of topic announcement: | 2019/2020 |
| Thesis type: | dissertation |
| Thesis language: | angličtina |
| Department: | Department of Mathematical Analysis (32-KMA) |
| Supervisor: | prof. RNDr. Stanislav Hencl, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 20.09.2019 |
| Date of assignment: | 20.09.2019 |
| Confirmed by Study dept. on: | 04.10.2019 |
| Date and time of defence: | 11.08.2023 09:00 |
| Date of electronic submission: | 04.07.2023 |
| Date of submission of printed version: | 04.07.2023 |
| Date of proceeded defence: | 11.08.2023 |
| Opponents: | Dr. Aldo Pratelli |
| Stefan Krömer | |
| Guidelines |
| Student(ka) bude studovat různé nelineární třídy zobrazení, které lze použít jako modely v teorii nelineární elasticity. Bude zkoumat vlastnosti podobné (INV) podmínce od Mullera a Spectora, bude zkoumat vlastnosti distributivního Jakobiánu a zaměří se i na možnost aproximace těchto zobrazení pomocí regulárních zobrazení. |
| References |
| Müller, Stefan; Spector, Scott J: An existence theory for nonlinear
elasticity that allows for cavitation. Arch. Rational Mech. Anal. 131 (1995), no. 1, 1-66. Conti, Sergio; De Lellis, Camillo: Some remarks on the theory of elasticity for compressible Neohookean materials. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 2 (2003), no. 3, 521-549. Campbell, Daniel; Hencl, Stanislav; Kauranen, Aapo; Radici, Emanuela: Strict limits of planar BV homeomorphisms. Nonlinear Anal. 177 (2018), part A, 209-237. klasická i současná časopisecká literatura |
| Preliminary scope of work |
| Student(ka) bude studovat různé nelineární třídy zobrazení, které lze použít jako modely v teorii nelineární elasticity. |
| Preliminary scope of work in English |
| Student will study various classes of mappings that can be used as models in Nonlinear Elasticity. |