On the ill-posedness of the 2D Boussinesq equations in the class of bounded initial data
Event details
| Date | 15.12.2023 |
| Hour | 14:15 |
| Speaker | Dr. Lars Eric Hientzsch (Univ. Bielefeld) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
Abstract:
The Boussinesq equations describe the evolution of a stratified fluid under the influence of gravity. We investigate the system in vorticity form and with a stable continuous background stratification increasing with depth (spectrally stable density profile).
We prove that the system is strongly ill-posed in the class of data with bounded initial vorticity and density gradient.
The mechanism that allows us to exhibit the norm-inflation in infinitesimal time is purely nonlinear - in contrast to previous results on mild ill-posedness of the system.
Time permitting, applications to the 3D axisymmetric Euler equations with small bounded initial vorticity are discussed.
Based on joint work with R. Bianchini (IAC Rome) and F. Iandoli (Università della Calabria).
Practical information
- General public
- Free
Organizer
- Prof. Maria Colombo
Contact
- Prof. Maria Colombo