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Mathematical Theory of Water Waves

dc.date.accessioned2019-10-24T15:04:43Z
dc.date.available2019-10-24T15:04:43Z
dc.date.issued2015
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3466
dc.description.abstractThe water-wave problem is the study of the two- and three-dimensional flow of a perfect fluid bounded above by a free surface subject to the forces of gravity and surface tension. From a mathematical viewpoint, the water-wave equations pose surprisingly deep and subtle challenges for mathematical analysis. The governing equations are widely accepted and there has been substantial research into their validity and limitations. However, a rigorous theory of their solutions is extremely complex due not only to the fact that the water-wave problem is a classical free-boundary problem (where the problem domain, specifically the water surface, is one of the unknowns), but also because the boundary conditions (and, in some cases, the equations) are strongly nonlinear. In contrast to other meetings on water waves, which usually focus upon modelling and numerical issues, this workshop was devoted to the rigorous mathematical theory for the exact hydrodynamic equations.
dc.titleMathematical Theory of Water Waves
dc.identifier.doi10.14760/OWR-2015-19
local.series.idOWR-2015-19
local.subject.msc76
local.sortindex906
local.date-range12 Apr - 18 Apr 2015
local.workshopcode1516a
local.workshoptitleMathematical Theory of Water Waves
local.organizersJerry Bona, Chicago; Mark Groves, Saarbrücken; Mariana Haragus, Besancon; Erik Wahlén, Lund
local.report-nameWorkshop Report 2015,19
local.opc-photo-id1516a
local.publishers-doi10.4171/OWR/2015/19
local.ems-referenceBona Jerry, Groves Mark, Haragus Mariana, Wahlén Erik: Mathematical Theory of Water Waves. Oberwolfach Rep. 12 (2015), 1029-1083. doi: 10.4171/OWR/2015/19


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