Blowup and ill-posedness for the complex, periodic KdV equation - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Communications in Contemporary Mathematics Année : 2022

Blowup and ill-posedness for the complex, periodic KdV equation

Résumé

This paper is concerned with complex-valued solutions of the Korteweg–de Vries equation. Interest will be focused upon the initial-value problem with initial data that is periodic in space. Derived here are results of local and global well-posedness, singularity formation in finite time and, perhaps surprisingly, results of non-existence. The overall picture is notably different from the situation that obtains for real-valued solutions.
Fichier principal
Vignette du fichier
BW Complex KdV 2022_06 final.pdf (470.65 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03860507 , version 1 (13-01-2023)

Identifiants

Citer

J L Bona, F B Weissler. Blowup and ill-posedness for the complex, periodic KdV equation. Communications in Contemporary Mathematics, 2022, ⟨10.1142/S0219199722500444⟩. ⟨hal-03860507⟩
26 Consultations
74 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More