Almost global solutions of capillary-gravity water waves equations on the circle

DOI10.1007/978-3-319-99486-4zbMath1409.35002OpenAlexW2898808259MaRDI QIDQ1667226

Jean-Marc Delort, Massimiliano Berti

Publication date: 27 August 2018

Published in: Lecture Notes of the Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-99486-4

zbMATH Keywords

small divisors global in time solutions exceptional subset of zero measure losses of derivatives normal form procedure paralinearization space periodic solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Paradifferential operators as generalizations of partial differential operators in context of PDEs (35S50)

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