Thesis (Selection of subject)Thesis (Selection of subject)(version: 368)
Thesis details
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Stokesovy rovnice a pružné membrány
Thesis title in Czech: Stokesovy rovnice a pružné membrány
Thesis title in English: Stokes equation and flexible membranes
Key words: differential equations, functional analysis, fluid mechanics, fluid structure interaction
English key words: differential equations, functional analysis, fluid mechanics, fluid structure interaction
Academic year of topic announcement: 2019/2020
Thesis type: Bachelor's thesis
Thesis language:
Department: Mathematical Institute of Charles University (32-MUUK)
Supervisor: doc. Sebastian Schwarzacher, Dr.
Author:
Guidelines
The thesis is about the situation, when a fluid or gas is interacting with a flexible material. For example a balloon that gets filled with air. But also the modeling of arteries.

The thesis would be to introduce the simple setting, where one considers a fluid in a 2 dimensional domain, which is described by (stationary) Stokes equation. A part of the 1 dimensional boundary is flexible and will be described by an ODE, interacting with the forces coming from the fluid. By a fixed point argument, we will show the existence of solutions.
References
To be anounced.
 
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