László Székelyhidi

László Székelyhidi is a Hungarian-German mathematician specializing in differential equations and the calculus of variations. His main contribution is the application of the method of convex integration, originally developed by Gromov, to the equations of hydrodynamics. Together with Camillo De Lellis, he proved the existence of infinitely many weak solutions of the Euler equations with prescribed energy, shedding light on Onsager's conjecture about energy dissipation in turbulence. Székelyhidi also investigated the connection between oscillations and Reynolds stresses, showing how high-frequency oscillations can generate effective stresses. His work has created a theoretical foundation for understanding possible singularities and non-uniqueness in the Navier–Stokes equations, which is directly related to recent results on finite-time blowup.

Biography

László Székelyhidi was born in 1977 in Hungary. He studied at the University of Budapest, then earned his PhD at the University of Oxford under the supervision of John Ball. He worked at Princeton, Leipzig, and is currently a professor at the University of Leipzig. He collaborated with Camillo De Lellis, Vladimír Šverák, and others. He is a laureate of the European Mathematical Society Prize (2008) and other awards.

Key discoveries

Application of convex integration to the Euler equations: proof of the existence of weak solutions with arbitrary energy (jointly with De Lellis).
Investigation of Onsager's conjecture on the regularity threshold for energy dissipation.
Construction of solutions realizing prescribed Reynolds stresses through oscillations.

Biography

Key discoveries

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