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 theERCCZ Grant LL2105 CONTACTThe Ministry of Education, Youth and Sport of the Czech Republic supports the Grant LL2105 CONTACT from 09/2021 until 08/2026. In case you wish to participate in the program please contact me for more information. 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 IV) the contactless rebound of elastic solids (Gravina, Sch, Soucek, Tuma, 2020, Preprint V) and the existence theory for bulk elastic solids with large deformations interacting with NavierStokes fluids. See (Benesova, Kampschulte, Sch, 2020, Preprint VI) for the incompressible case and (Breit, Kampschulte, Sch, 2021, Preprint I), for the compressible case. Further we introduced the weakstrong uniqueness (Sch, Sroczinski, 2020, Preprint VII) of elastic plates interacting with incompressible fluids and a stable numeric approximation scheme for compressible fluidsstructure interactions (Sch, She, 2020, Preprint VIII). Very recently a general approach to invert the divergence equation in noncylindrical domains was developed (Saari, Sch, 2021, Preprint II). Team members
Former team membersPostdoc: Giovanni Gravina (now Temple Univ.), Matthias Sroczinski (now Univ. of Konstanz), Jan Burczak (now Univ. of Leipzig). Group meetingsDuring the semester we have regular 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. Starting from September 2021 the group is financed by the ERCCZ Grant LL2105 CONTACT . 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.
