Program v akademickém roce 2022/2023
15. 3. 2023
Lenka Rucká, Generalization of one result from Sharkovsky classification of triangular maps
14. 12. 2022
Matěj Moravík, History, application and new proof of Bertrand's postulate
Veronika Rýžová, Backward orbits in dynamical systems
7. 12. 2022
Matúš Dirbák (Matej Bel University in Banská Bystrica), Minimal diffeomorphisms on homogeneous manifolds
9. 11. 2022
Michaela Mihoková (Matej Bel University in Banská Bystrica), Minimal sets on continua with a dense free interval
2. 11. 2022
Priscila Leal da Silva (Loughborough University), Global analytic solutions for the 0-equation
Abstract: Since 1993, when the celebrated Camassa-Holm equation was reobtained as a shallow water model with weak peaked solutions, much effort has been put into the study of local and global well-posedness of similar equations with applications in water waves. In this talk we consider a hydrodynamic model that lacks the conservation of the $H^1(\mathbb{R})$ norm, a crucial quantity for determination of global well-posedness in Sobolev spaces. We construct a nontrivial functional to estimate the norm of the solution and show that, under certain mild conditions, there is a unique global solution. From that, we then extend regularity of the solution by making use of the powerful machinery of Kato and Masuda and show that it is globally analytic in both variables.
19. 10. 2022
Miroslav Výbošťok (Matej Bel University in Banská Bystrica), Classification of Floyd-Auslander systems with fixed pattern, part II
12. 10. 2022
Miroslav Výbošťok (Matej Bel University in Banská Bystrica), Classification of Floyd-Auslander systems with fixed pattern, part I
Seminař se koná zpravidla každý lichý týden ve středu od 13:05 do 14:40 v učebně R1.
