LEADER 02237nam 2200541 450 001 9910794068003321 005 20200817172514.0 010 $a1-4704-5654-0 035 $a(CKB)4100000011040218 035 $a(MiAaPQ)EBC6176753 035 $a(RPAM)21598074 035 $a(PPN)249710714 035 $a(EXLCZ)994100000011040218 100 $a20200817d2020 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aQuasi-periodic standing wave solutions of gravity-capillary water waves /$fMassimiliano Berti, Riccardo Montalto 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2020. 215 $a1 online resource (184 pages) 225 1 $aMemoirs of the American Mathematical Society ;$vVolume 263 311 $a1-4704-4069-5 320 $aIncludes bibliographical references. 330 $a"We prove the existence and the linear stability of small amplitude time quasiperiodic standing wave solutions (i.e. periodic and even in the space variable x) of a 2-dimensional ocean with infinite depth under the action of gravity and surface tension. Such an existence result is obtained for all the values of the surface tension belonging to a Borel set of asymptotically full Lebesgue measure"--$cProvided by publisher. 410 0$aMemoirs of the American Mathematical Society ;$vVolume 263. 606 $aWater waves$xMathematical models 606 $aWave equation$xNumerical solutions 606 $aStanding waves 606 $aKolmogorov-Arnold-Moser theory 606 $aCapillarity 615 0$aWater waves$xMathematical models. 615 0$aWave equation$xNumerical solutions. 615 0$aStanding waves. 615 0$aKolmogorov-Arnold-Moser theory. 615 0$aCapillarity. 676 $a532.0593 686 $a76B15$a37K55$a76D45$a37K50$a35S05$2msc 700 $aBerti$b Massimiliano$0309729 702 $aMontalto$b Riccardo 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910794068003321 996 $aQuasi-periodic standing wave solutions of gravity-capillary water waves$93687050 997 $aUNINA