33 citations
3 papers
math.GN2023
The monoid of numbers of the form 1 < a^q /b^p < a
Laurent Fallot
This paper is a study of the set of rational numbers of the form 1 < a^q /b^p < a with a and b co-prime integers. The set F (a,b) of these numbers, with an appropriate binary law,…
physics.flu-dyn2017★ 33 cited
Recovering water wave elevation from pressure measurements
Philippe Bonneton, David Lannes
The reconstruction of water wave elevation from bottom pressure measurements is an important issue for coastal applications, but corresponds to a difficult mathematical problem. In…
physics.ao-ph2007
Derivation of asymptotic two-dimensional time-dependent equations for ocean wave propagation
David Lannes, Philippe Bonneton
A general method for the derivation of asymptotic nonlinear shallow water and deep water models is presented. Starting from a general dimensionless version of the water-wave equati…