Abstract: We discuss stationary solutions of Euler's equation on a rotating sphere and their relevance to the dynamics of stratospheric flows in the atmosphere of the outer planets of our solar system. We present some rigidity results (showing that certain stationary solutions must be either zonal or rotated zonal solutions) and some stability results of low-mode Rossby-Haurwitz stationary solutions. This is joint work with Pierre Germain (Courant Institute, New York).
Adrian Constantin is a Romanian-Austrian mathematician who does research in the field of nonlinear partial differential equations. He is a professor at the University of Vienna and has made groundbreaking contributions to the mathematics of wave propagation.
This lecture was part of the bi-annual Abel Symposium.
This year the title of the symposium was Partial Differential Equations waves, Nonlinearities and Nonlocalities.
The symposium was funded by
- The Norwegian Academy of Sciences and Letters via the Abel board and The Norwegian Mathematical Society
- NTNU Norwegian University of Science and Technology
- Research Council of Norway via the grant Waves and Nonlinear Phenomena
- Trond Mohn Foundation
28 ноя 2023
