Dear friends and colleagues,
on Monday, 26 April 2021 at 3 pm, Professor In-Jee Jung from Seoul National University, South Korea, is giving a talk in our Asia-Pacific Analysis and PDE Seminar on
Ill-posedness for incompressible fluid models at critical Sobolev regularity .
We consider the incompressible fluid equations including the Euler and SQG equations in critical Sobolev spaces, which are Sobolev spaces with the same scaling as the Lipschitz norm of the velocity. We show that initial value problem for the equations are ill-posed at critial regularity.
Such an ill-posedness result can be used to prove enhanced dissipation for the dissipative counterpart. The proof relied on the Key Lemma of Kiselev and Sverak, which allows to compute the main term of the velocity gradient.
This is based on joint works with Tarek Elgindi, Tsuyoshi Yoneda, and Junha Kim.
More information and how to attend this talk can be found at the seminar webpage .