| Abstract: |
| In this talk, I will discuss existence of weak solutions to the SQG equation with a rough initial data. We prove that when the initial data is has weak integrability, there exists a global weak solutions to the viscous SQG equation and the vanishing viscosity limit solves the inviscid SQG equation. We will also discuss Hamiltonian conservation of such weak solutions. The proof is based on an application of Lions` concentration compactness principle. This is a joint work with Luigi De Rosa (GSSI) and Mickael Latocca (Univ. Evry) |
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