Gravity Capillary Standing Water Waves
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| 001 | 605515549 | ||
| 003 | CHVBK | ||
| 005 | 20210128100710.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150901xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00205-015-0842-5 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-015-0842-5 | ||
| 245 | 0 | 0 | |a Gravity Capillary Standing Water Waves |h [Elektronische Daten] |c [Thomas Alazard, Pietro Baldi] |
| 520 | 3 | |a The paper deals with the 2D gravity-capillary water waves equations in their Hamiltonian formulation, addressing the question of the nonlinear interaction of a plane wave with its reflection off a vertical wall. The main result is the construction of small amplitude, standing (namely periodic in time and space, and not travelling) solutions of Sobolev regularity, for almost all values of the surface tension coefficient, and for a large set of time-frequencies. This is an existence result for a quasi-linear, Hamiltonian, reversible system of two autonomous pseudo-PDEs with small divisors. The proof is a combination of different techniques, such as a Nash-Moser scheme, microlocal analysis and bifurcation analysis. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 700 | 1 | |a Alazard |D Thomas |u Département de Mathématiques et Applications, Ecole Normale Supérieure, 45 rue d'Ulm, 75005, Paris, France |4 aut | |
| 700 | 1 | |a Baldi |D Pietro |u Dipartimento di Matematica e Applicazioni "R. Caccioppoli”, Università di Napoli Federico II, Via Cintia, 80126, Naples, Italy |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/3(2015-09-01), 741-830 |x 0003-9527 |q 217:3<741 |1 2015 |2 217 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-015-0842-5 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-015-0842-5 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Alazard |D Thomas |u Département de Mathématiques et Applications, Ecole Normale Supérieure, 45 rue d'Ulm, 75005, Paris, France |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Baldi |D Pietro |u Dipartimento di Matematica e Applicazioni "R. Caccioppoli”, Università di Napoli Federico II, Via Cintia, 80126, Naples, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 217/3(2015-09-01), 741-830 |x 0003-9527 |q 217:3<741 |1 2015 |2 217 |o 205 | ||