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The Benjamin-Lighthill conjecture for near-critical values of Bernoulli's constant
V. Kozlov, Linköping University, Sweden
Wednesday, September 17
at 16.15, HG E 1.1
The so-called Benjamin-Lighthill conjecture will be discussed. The conjecture was formulated in 1954 for the classical nonlinear problem of steady two-dimensional waves on water of finite depth and concerns a possibility to characterise all such waves by means of two non- dimensional parameters located within a certain region. Along with a survey of results obtained since 1954, a new approach (proposed in a joint work with Professor Nikolay Kuznetsov) to this conjecture will be presented. This approach leads to proving the conjecture for near-critical values of Bernoulli's constant.
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