Derivation of Euler’s Equations of Perfect Fluids from von Neumann’s Equation with Magnetic Field
نویسندگان
چکیده
Abstract We give a rigorous derivation of the incompressible 2D Euler equation from von Neumann with an external magnetic field. The convergence is respect to modulated energy functional, and implies weak in sense measures. This semi-classical counterpart theorem 1.5 (Han-Kwan Iacobelli Proc Am Math Soc 149(7):3045–3061, 2021). Our proof based on Gronwall estimate for which turn heavily relies recent functional inequality due (Serfaty Duke J 169:2887–2935, 2020).
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ژورنال
عنوان ژورنال: Journal of Statistical Physics
سال: 2023
ISSN: ['0022-4715', '1572-9613']
DOI: https://doi.org/10.1007/s10955-023-03131-5