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math.AP2022
Extended water wave systems of Boussinesq equations on a finite interval: Theory and numerical analysis
Dionyssios Mantzavinos, Dimitrios Mitsotakis
Considered here is a class of Boussinesq systems of Nwogu type. Such systems describe propagation of nonlinear and dispersive water waves of significant interest such as solitary a…
math.AP2022★ 1 cited
The Robin and Neumann problems for the nonlinear Schrödinger equation on the half-plane
A. Alexandrou Himonas, Dionyssios Mantzavinos
This work studies the initial-boundary value problem of the two-dimensional nonlinear Schrödinger equation on the half-plane with initial data in Sobolev spaces and Neumann or Robi…