102 citations · 872 across the 46 of their papers we have counts for
4 papers · 2 filters
Optimal local well-posedness theory for the kinetic wave equation
Pierre Germain, Alexandru D. Ionescu, Minh-Binh Tran
We prove local existence and uniqueness results for the (space-homogeneous) 4-wave kinetic equation in wave turbulence theory. We consider collision operators defined by radial, bu…
Recent advances on the global regularity for irrotational water waves
Alexandru D. Ionescu, Fabio Pusateri
We review recent progress on the long-time regularity of solutions of the Cauchy problem for the water waves equations, in two and three dimensions. We begin by introducing the fre…
Global solutions for the generalized SQG patch equation
Diego Córdoba, Javier Gómez-Serrano, Alexandru D. Ionescu
We consider the inviscid generalized surface quasi-geostrophic equation (gSQG) in a patch setting, where the parameter . The cases and correspond to 2d Eu…
On the global regularity for a Wave-Klein-Gordon coupled system
Alexandru D. Ionescu, Benoit Pausader
We consider a coupled Wave-Klein-Gordon system in 3D, and prove global regularity and modified scattering for small and smooth initial data with suitable decay at infinity. This sy…