Wednesday, November 2, 2022 - 16:15 in ZOOM - Video Conference
The soliton problem for the Zakharov water waves system with slowly varying bottom
A talk in the Oberseminar Analysis series by
Maria Eugenia Martinez
| Abstract: |
Zakharov water waves arises as a free surface model for an irrotational
and incompressible fluid under the influence of gravity. Such fluid is
considered in a domain with rigid bottom (described as ha(x)) and a free
surface. When considering the pressure over the surface,
Amick-Kirchgässner proved the existence of solitary waves Qc (solutions
that maintain its shape as they travel in time) of speed c for the
flat-bottom case (a=1).
In this talk, we are interested in the analysis of the behavior of the
solitary wave solution of the flat-bottom problem when the bottom actually
presents a (slight) change at some point. We construct a solution to the
Zakharov water waves system with non-flat bottom that is time assympotic
(as time t tends to - infinity) to the Amick-Kirchgässner soliton $Q_c$.
Zoom Meeting ID: 986 0677 6055
Passcode: 430747
$\href{https://uni-bielefeld.zoom.us/j/98606776055?pwd=azBFdUVaQnJMU01tWjZUVEdxN2x5Zz09}{\textbf{Join Zoom Meeting}}$
Within the CRC this talk is associated to the project(s): A1 |
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