Zoom: https://snu-ac-kr.zoom.us/j/4020312420 (ID: 402 031 2420) In the theory of turbulence, a famous conjecture of Onsager asserts that the threshold Hölder regularity for the total kinetic energy conservation of (spatially periodic) Euler flows is 1/3. In particular, there are Hölder continuous Euler flows with Hölder exponent less than 1/3 exhibiting strict energy dissipation, as proved recently by Isett. In light of these developments, I`ll discuss Hölder continuous Euler flows which not only have energy dissipation but also satisfy a local energy inequality. This is joint work with Camillo De Lellis.