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Frank Merle is a CNRS researcher at Université de Cergy-Pontoise and a professor at IHES. He works on non-linear partial differential equations, fluid mechanics, solitons and mathematical physics.
Frank Merle (born 22 November 1962, in Marseille) is a French mathematician, specializing in partial differential equations and mathematical physics. Education and career.
Frank Merle is an American screenwriter, director and producer best known for The Employer [1] and From Jennifer. Also a theatrical producer and director, Merle graduated from The Theatre School at DePaul University. [2] Film career. Merle co-founded Keyhole Theatre Company in the Wicker Park neighborhood of Chicago, IL.
May 15, 2023 · Frank Merle, a mathematician and holder of the CY Cergy Paris Université – IHES Chair in Analysis, will celebrate his sixtieth birthday with a conference on nonlinear analysis and waves in May 2023. The conference will feature invited talks by experts in the field and beyond, and honor Merle's seminal contributions to the qualitative study of nonlinear PDEs.
Frank MERLE | Cited by 12,648 | of Université de Cergy-Pontoise, Cergy-Pontoise | Read 203 publications | Contact Frank MERLE
Sep 15, 2021 · The article by Frank Merle and others studies the global dynamics of the defocusing nonlinear Schrödinger equation (NLS) in dimension d ≥ 5 and energy supercritical case. They prove the existence of spherically symmetric initial data that lead to finite time blow up via a front mechanism and a compressible Euler flow.
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Frank Merle. Download Chapter PDF. Abstract. We review qualitative properties of solutions of critical nonlinear Schrödinger equation iut = −Δu−∣u∣p−1u, u(0) = u0, and Zakharov equations iut = −Δu+nu, nt = −∇⋅v, c021 vt = −∇(n+∣u∣2), which develop a singularity in finite time.
