Title: Existence of weak solution to SQG with L^{4/3} initial data
Abstract: In this talk I will explain how one can construct weak solutions to the SQG with initial data in L^{4/3},
which is a critical threshold for usual compactness methods. Our constructed solutions conserve the Hamiltonian.
The proof follows from the fact that along a viscosity limit sequence, there is no anomalous dissipation. This is a joint work with Luigi De Rosa (GSSI L’Aquila) and Jaemin Park (Yonsei University)