21. Mar 2024
The spectrum of the Ekman boundary layer problem
Mathphys Analysis Seminar
Datum: 21. March 2024 |
Sprecher: Borbála Gerhát, CTU, Prague
Veranstaltungsort: Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Originating in fluid dynamics, the study of linear stability of Ekman boundary layers leads to a spectral problem for a non-selfadjoint operator matrix family. We present new enclosures for the point spectrum of this family, thereby solving an open problem on the existence of open sets of eigenvalues in domains of Fredholmness posed by L. Greenberg and M. Marletta in 2004. Our analysis is based on a Birman–Schwinger type argument which exploits underlying similarities to Schrödinger operators. The talk is concluded by discussing possible directions of future research in this topic. Based on joint work with O. Ibrogimov and P. Siegl.