Talk page
Title:
Critical Sobolev ill-posedness for incompressible Euler
Speaker:
Abstract:
We present a quantitative and robust proof that the incompressible Euler equations are strongly ill-posed in critical Sobolev spaces, in the sense that norm inflation and nonexistence occur for critical initial data. The argument is based on combining the Key Lemma of Kiselev-Sverak with certain stability estimates for dyadic bubbles. This strategy extends to related incompressible and inviscid fluid models and has consequences for the dissipative counterparts. Based on joint works with Tarek Elgindi, Tsuyoshi Yoneda, and Junha Kim.
Link:
Workshop: