slideshow 3

Memorial seminar dedicated to Prof. Jindřich Nečas - 20th anniversary of his death

Date: 
Monday, 5. December 2022 - 15:30 to 19:00
Place: 
Institute of Mathematics, Žitná 25, Praha 1, library
Description: 
Necas Seminar on Continuum Mechanics together with Mathematical branch of Prague  of  the Union of Czech Mathematicians and Physicists will organize  Memorial seminar dedicated to  Prof. Jindřich Nečas - 20th  anniversary of his death (5.12.2002).

Program:
15:30 Opening: Doc. RNDr. Mirko Rokyta, CSc., dean of faculty of Mathematics and Physics
15:40-16:40  Dallas Albritton (Princeton University): Non-uniqueness of Leray solutions to the forced Navier-Stokes equations
Abstract: In a seminal work, Leray demonstrated the existence of global weak solutions to the Navier-Stokes equations in three dimensions. Are Leray's solutions unique? This is a fundamental question in mathematical hydrodynamics, which we answer in the negative within the `forced' category, by exhibiting two distinct Leray solutions with zero initial velocity and identical body force.
This is joint work with Elia Brué and Maria Colombo.
16:40-17:10  Coffee break
17:10-18:10  Michael Ruzicka (Albert-Ludwigs-University Freiburg): Existence Proofs for Pseudomonotone Parabolic Problems
Abstract:  In the talk we discuss nonlinear parabolic problems which contain a pseudomonotone operator. A new notion of Bochner pseudomonotonicity is introduced and applied. Extensions to quasi non-conforming and non-conforming Bochner pseudomonotonicity yield convergence proofs for fully discrete Rothe–Galerkin schemes in the framework of discretely divergence free FE and DG methods.
References
[1] E. Baumle and M. Růžička: Note on the existence theory for evolution equations with pseudomonotone operators, Ric. Mat., 2017.
[2] S. Bartels, M. Růžička: Convergence of fully discrete implicit and semi-implicit approximations of singular parabolic equations, SIAM J. Numer. Anal., 2020.
[3] A. Kaltenbach, M. Růžička: Note on the existence theory for pseudo-monotone evolution problems, J. Evol. Equ., 2021.
[4] L.C. Berselli, A. Kaltenbach, M. Růžička: Analysis of fully discrete, quasi non-conforming approximations of evolution equations and applications, Math. Models Methods Appl. Sci., 2021.
[5] A. Kaltenbach, M. Růžička: Analysis of fully discrete, non-conforming approximation of evolution equations and applications, in preparation, 2022.

The lectures will be delivered in person/online  in the Institute and streamed via Zoom.

Join Zoom Meeting
https://cesnet.zoom.us/j/96408857272?pwd=ZHpyTXhXc1NTS3pMSVZTK3NXNmhJQT09
Meeting ID: 964 0885 7272
Passcode: 876912

For more information
https://researchseminars.org/seminar/NSCM