5 papers · 2 filters
Existence and equicontinuity of solutions to the Kirchhoff--Pohozaev wave equation
Luccas Campos, Rowan Killip, Monica Visan
It was recently discovered by Boiti--Manfrin that a variant of the Kirchhoff wave equation introduced by Pohozaev admits infinitely many conserved quantities. In this paper, we obt…
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…
Determination of radial nonlocal nonlinearities from the scattering map
Luccas Campos, Rowan Killip, Jason Murphy +1
We show that the small-data scattering map uniquely determines the nonlinearity for a class of nonlinear Schrödinger equations with radial, Hartree-type nonlinearities. Our assump…
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…
A priori bounds and equicontinuity of orbits for the intermediate long wave equation
Benjamin Harrop-Griffiths, Rowan Killip, Monica Visan
We prove uniform-in-time a priori bounds for solutions to the intermediate long wave equation posed both on the line and on the circle, covering the range .…