Almost Global Solutions of Capillary-Gravity Water Waves Equations on the Circle

Almost Global Solutions of Capillary-Gravity Water Waves Equations on the Circle

Delort, Jean-Marc; Berti, Massimiliano

Springer International Publishing AG

11/2018

269

Mole

Inglês

9783319994857

15 a 20 dias

454

Descrição não disponível.
Introduction.- MainResult. - Paradifferential Calculus. - Complex Formulation of the Equation and Diagonalization of the Matrix Symbol. - Reduction to a Constant Coefficients Operator and Proof of the Main Theorem. - The Dirichlet-Neumann Paradifferential Problem. - Dirichlet-Neumann Operator and the Good Unknown. - Proof of Some Auxiliary Results.
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35A01, 76B15, 35Q35;Capillary-gravity water waves;Long-time existence for PDEs;Paradifferential calculus;Normal forms;Small divisors;partial differential equations