Sebastian Schwarzacher Department of Mathematical Analysis Email: schwarz@karlin.mff.cuni.cz Tel: (+420) 2 2191 3267 

Research interests/Scientific background

Working group: Interaction of Fluids and SolidsThe working group on the Interaction of Fluids and Solids was initiated at the beginning of 2019 and is mainly financed through third party funding. For details please see the end of the paragraph.Research descriptionFluid solid interaction happens in many everyday instances. For example blood flow through a vessel or air flow through the trachea, oscillations of suspension bridges, lifting of airplanes, bouncing of elastic balls, or the rotation of wind turbines. The working group aims to systematically develop an analysis for the related theory of partial differential equations. We attack classical questions of existence, uniqueness, regularity and stability, questions about the qualitative behavior of fluids interacting with solids and the quantification of the forces at the free interface between the solid and the fluidthe variable domain. Moreover, we interchange ideas with the field of scientific computing and modeling and progress the related theory of numerical approximation schemes. Current main scientific activities
Recent resultsResults have been achieved on compressible heatconducting fluids (Breit, Sch, 2021, Preprint II) the contactless rebound of elastic solids (Gravina, Sch, Soucek, Tuma, 2020, Preprint III), existence theory for bulk elastic solids with large deformations interacting with NavierStokes fluids (Benesova, Kampschulte, Sch, 2020, Preprint IV), weakstrong uniqueness (Sch, Sroczinski, 2020, Preprint VI) of elastic plates interacting with incompressible fluids, on the development of a stable numeric approximation scheme for compressible fluidsstructure interactions (Sch, She, 2020, Preprint VII), as well as the existence and regularity of nonlinear shells interacting with incompressible fluids in 3D (Muha, Sch, 2020, Preprint IX). Team members
Group meetingsWe have regular online group meetings every Wednesday at 15.00 where results are discussed and presented. Everybody is welcome to join. In case of interest please send an email. FundingFunding for the project is provided by the support of the Junior Grant (GJ1911707Y) of the Czech Science Foundation and by the Primus Research Programme (PRIMUS/19/SCI/01) of Charles University. Several members of the working group are additionally supported by the University Centre MathMAC (UNCE/SCI/023). Poster (on the occasion of the Annual meeting of PRIMUS investigators 2020). 


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Recent Preprints

Selected PublicationsFind here a complete list of publications.
