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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013 Number 2, Pages 42–46 (Mi vmumm393)

Short notes

Functional limit theorem for solutions to Burgers equation with random initial data

V. P. Demichev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A functional limit theorem is proved for solutions to Burgers' equation corresponding to the sequence of initial potentials determined by specified shot noise random fields.

Key words: Burgers' equation, shot noise random fields.

UDC: 519.214.6

Received: 30.06.2010
Revised: 27.06.2012


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2013, 68:2, 107–110

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