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pro vyhledávání: '"37K15, 76B15"'
Autor:
Charlier, C., Lenells, J.
A century and a half ago, J. Boussinesq derived an equation for the propagation of water waves in a channel. Despite the fundamental importance of this equation for a number of physical phenomena, mathematical results on it remain scarce. One reason
Externí odkaz:
http://arxiv.org/abs/2204.02365
Publikováno v:
Analysis & PDE 16 (2023) 1351-1388
We consider the initial-value problem for the ``good'' Boussinesq equation on the line. Using inverse scattering techniques, the solution can be expressed in terms of the solution of a $3 \times 3$-matrix Riemann-Hilbert problem. We establish formula
Externí odkaz:
http://arxiv.org/abs/2003.04789
Autor:
Bona, Jerry L., Lenells, Jonatan
The work presented here emanates from questions arising from experimental observations of the propagation of surface water waves. The experiments in question featured a periodically moving wavemaker located at one end of a flume that generated unidir
Externí odkaz:
http://arxiv.org/abs/1906.05053
We study the linear stability of the Peregrine breather both numerically and with analytical arguments based on its derivation as the singular limit of a single-mode spatially periodic breather as the spatial period becomes infinite. By constructing
Externí odkaz:
http://arxiv.org/abs/1803.06584
Autor:
Bona, Jerry L., Lenells, Jonatan
Publikováno v:
SIAM Journal on Mathematical Analysis. 52(2):1009-1039
The work presented here emanates from questions arising from experimental observations of the propagation of surface water waves. The experiments in question featured a periodically moving wavemaker located at one end of a flume that generated unidir
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c4d62dfc0c0b0a8a6d6d4c9d7e8a175
