Publication at Faculty of Mathematics and Physics |
2023
Abstract
We give a short overview on new methods for non-linear dynamic problems in con- tinuum mechanics developed recently in [5]. We describe the general idea of how to treat such problems starting from the energetic point of view and discuss some related recent and future results.
Further we introduce an example that models the breathing through masks: An incom- pressible fluid governed by the Navier-Stokes equation is interacting with a porous, visco-elastic bulk solid. For that model we prove the existence of a weak solution via the new methods.