3 papers
math.AP2026
Asymptotic stability of Benjamin--Ono multisolitons in
Rana Badreddine, Rowan Killip, Monica Visan
We prove the following dichotomy result for solutions to the Benjamin--Ono equation: On windows traveling at any speed, the solution either converges to zero or to…
math.AP2026
Orbital stability of Benjamin--Ono multisolitons
Rana Badreddine, Rowan Killip, Monica Visan
We show that multisoliton solutions to the Benjamin--Ono equation are uniformly orbitally stable in for every . This improves the regular…
math.AP2026
Global well-posedness for intermediate NLS with nonvanishing conditions at infinity
Takafumi Akahori, Rana Badreddine, Slim Ibrahim +1
The intermediate nonlinear Schrödinger equation (INLS) describes the dynamics of the envelope of weakly nonlinear internal waves in a stratified fluid of finite depth. While the I…