In the last decade new versions of this technique have been developed primarily for applications in fluid mechanics. Most notable achievements are
(1) the non-uniqueness of weak solutions to the incompressible Euler system and to the p-system of compressible ideal flows;
(2) the resolution of Onsager’s conjecture on anomalous dissipation in the context of the K41 theory of turbulence;
(3) the non-uniqueness of distributional solutions of the Navier-Stokes equations and of distributional solutions of the linear transport equation with Sobolev vector fields.
The lectures aim to provide an exposition to these separate achievements and to address the corresponding developments at the forefront of this still emerging theory.
The seminar takes place at the Mathematisches Forschungsinstitut Oberwolfach. The Institute covers board and lodging. By the support of the Carl Friedrich von Siemens Foundation travel expenses can be reimbursed up to 150 EUR in average per person (against copies of travel receipts). The number of participants is restricted to 25.
http://cvgmt.sns.it/event/608/
When | Sun May 31 – Sat Jun 6, 2020 |
Where | Mathematisches Forschungsinstitut Oberwolfach (map) |