Variational strategies in material sciences: Analysis & Numerics
| Thesis title in Czech: | Variační strategie v materiálových vědách: Analýza a numerika |
|---|---|
| Thesis title in English: | Variational strategies in material sciences: Analysis & Numerics |
| Key words: | Variační Počet|Interakce Tekutin a Pevných Látek|Mechanika tuhého tělesa|Nelineární Elasticita|Navier-Stokesovy Rovnice|Časová Diskretizace |
| English key words: | Calculus of Variations|Solid Mechanics|Non-linear Elasticity|Fluid-Structure Interactions|Navier-Stokes Equations|Time Discretization |
| Academic year of topic announcement: | 2019/2020 |
| Thesis type: | dissertation |
| Thesis language: | angličtina |
| Department: | Mathematical Institute of Charles University (32-MUUK) |
| Supervisor: | doc. Sebastian Schwarzacher, Dr. |
| Author: | Mgr. Antonín Češík, Ph.D. - assigned and confirmed by the Study Dept. |
| Date of registration: | 20.02.2020 |
| Date of assignment: | 20.02.2020 |
| Confirmed by Study dept. on: | 03.03.2020 |
| Date and time of defence: | 29.10.2024 15:30 |
| Date of electronic submission: | 31.07.2024 |
| Date of submission of printed version: | 13.08.2024 |
| Date of proceeded defence: | 29.10.2024 |
| Opponents: | prof. RNDr. Martin Kružík, Ph.D., DSc. |
| prof. Ulisse Stefanelli | |
| Guidelines |
| To aim for a good understanding of the Rothe method and the related background in the calculus of Variation (for elastic deformations). To aim for a good understanding the theory on the existence for weak solutions of fluids. |
| References |
| Galdi, Giovanni. An introduction to the mathematical theory of the Navier-Stokes equations: Steady-state problems. Springer Science & Business Media, 2011.
Galdi, Giovanni P. "An introduction to the Navier-Stokes initial-boundary value problem." Fundamental directions in mathematical fluid mechanics. Birkhäuser, Basel, 2000. 1-70. Dacorogna, Bernard. Direct methods in the calculus of variations. Vol. 78. Springer Science & Business Media, 2007. |