Daniel Tataru: Low regularity and long time solutions in quasilinear dispersive flows

Abstract: Both the study of low regularity solutions and the study of the long time dynamics for quasilinear pde's are challenging fundamental questions in dispersive flows. Usually these are considered separately, but recent research shows that it is instead natural to study them together. The talk will provide an overview of several new ideas an results in this direction, ranging from water waves and nonlinear wave equation to nonlinear Schroedinger flows. This is joint work with Mihaela Ifrim, and also in part with Albert Ai.
Daniel Ioan Tătaru is a Romanian mathematician at University of California, Berkeley.
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