On nonlocal dispersive equations and water waves
Has parts
Paper 1: Arnesen, Mathias Nikolai. Existence of solitary-wave solutions to nonlocal equations. Discrete and Continuous Dynamical Systems. Series A 2016 ;Volum 36.(7) s. 3483-3510Paper 2: Arnesen, Mathias Nikolai. Non-uniform dependence on initial data for equations of Whitham type. Advances in Differential Equations 2019 ;Volum 24.(5-6) s. 257-282 Not included due to copyright restrictions.
Paper 3: Arnesen, Mathias Nikolai. A nonlocal approach to waves of maximal height for the Degasperis-Procesi equation. Journal of Mathematical Analysis and Applications 2019 :Volum 479(1) s. 25-44
Paper 4: Arnesen, Mathias Nikolai; Buffoni Boris. On conditional energetic stability of gravity-capillary solitary water waves with non-constant vorticity function. This article is awaiting publication and is therefore not included.