caa a22 4500 605515999 CHVBK 20210128100712.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s00205-015-0877-7 doi (NATIONALLICENCE)springer-10.1007/s00205-015-0877-7 Wheeler Miles Courant Institute of Mathematical Sciences, 251 Mercer Street, 10012, New York, NY, USA aut Solitary Water Waves of Large Amplitude Generated by Surface Pressure [Elektronische Daten] [Miles Wheeler] We consider exact nonlinear solitary water waves on a shear flow with an arbitrary distribution of vorticity. Ignoring surface tension, we impose a non-constant pressure on the free surface. Starting from a uniform shear flow with a flat free surface and a supercritical wave speed, we vary the surface pressure and use a continuation argument to construct a global connected set of symmetric solitary waves. This set includes waves of depression whose profiles increase monotonically from a central trough where the surface pressure is at its lowest, as well as waves of elevation whose profiles decrease monotonically from a central crest where the surface pressure is at its highest. There may also be two waves in this connected set with identical surface pressure, only one of which is a wave of depression. Springer-Verlag Berlin Heidelberg, 2015 Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 218/2(2015-11-01), 1131-1187 0003-9527 218:2<1131 2015 218 205 https://doi.org/10.1007/s00205-015-0877-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-015-0877-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Wheeler Miles Courant Institute of Mathematical Sciences, 251 Mercer Street, 10012, New York, NY, USA aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 218/2(2015-11-01), 1131-1187 0003-9527 218:2<1131 2015 218 205