25 citations · 93 across the 34 of their papers we have counts for
4 papers · 2 filters
A Morawetz inequality for gravity-capillary water waves at low Bond number
Thomas Alazard, Mihaela Ifrim, Daniel Tataru
This paper is devoted to the 2D gravity-capillary water waves equations in their Hamiltonian formulation, addressing the general question of proving Morawetz inequalities. We conti…
Almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems in two space dimensions
Mihaela Ifrim, Annalaura Stingo
We prove almost global well-posedness for quasilinear strongly coupled wave-Klein-Gordon systems with small and localized data in two space dimensions. We assume only mild decay on…
Two dimensional gravity waves at low regularity I: Energy estimates
Albert Ai, Mihaela Ifrim, Daniel Tataru
This article represents the first installment of a series of papers concerned with low regularity solutions for the water wave equations in two space dimensions. Our focus here is…
Dispersive decay of small data solutions for the KdV equation
Mihaela Ifrim, Herbert Koch, Daniel Tataru
We consider the Korteweg-de Vries (KdV) equation, and prove that small localized data yields solutions which have dispersive decay on a quartic time-scale. This result is optimal,…