249 citations · 684 across the 32 of their papers we have counts for
4 papers · 1 filter
KAM via Standard Fixed Point Theorems
Thomas Alazard, Chengyang Shao
With a mere usage of well-established properties of para-differential operators, the conjugacy equations in several model KAM problems are converted to para-homological equations s…
The Hele-Shaw semi-flow
Thomas Alazard, Herbert Koch
We prove that the Cauchy problem is well-posed in a strong sense and in a general setting. Our main result is the construction of an abstract semi-flow for the Hele-Shaw problem wi…
Damping for fractional wave equations and applications to water waves
Thomas Alazard, Jeremy L. Marzuola, Jian Wang
Motivated by numerically modeling surface waves for inviscid Euler equations, we analyze linear models for damped water waves and establish decay properties for the energy for suff…
Virial theorems and equipartition of energy for water-waves
Thomas Alazard, Claude Zuily
We study several different aspects of the energy equipartition principle for water waves. We prove a virial identity that implies that the potential energy is equal, on average, to…