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 fundings. For details please see the end of the paragraph. To stay in touch under the current measurements we have online team coffeebreaks every Monday and Thursday at 13.30. About every second week we have online seminar talks by group members. Anybody interested to participate can send me an email.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 the weakstrong uniqueness (Sch, Sroczinski, 2020, Preprint I) of elastic plates interacting with incompressible fluids, on the development of a stable numeric approximation scheme for compressible fluidsstructure interactions (Sch, She, 2020, Preprint II), as well as the existence and regularity of nonlinear shells interacting with incompressible fluids in 3D (Muha, Sch, 2020, Preprint VI). Team members:
Group meetingsWe have regular group meetings every Thursday at 10.00 in the common room of the Department of Mathematical Analysis where results are discussed and presented. Everybody is welcome. 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). 


TeachingLink to ELecture for Partial differential equations 2Students that are interested in a Bachelor, Master or PhD thesis can find here a list of subjects.Summerterm 2020:
Winterterm 2019/2020:
Summerterm 2019:
Winterterm 2018/2019:
Summerterm 2017:
Winterterm 2016/2017:

Recent Preprints

Selected PublicationsA complete list can be found in the Curriculum Vitae.
