Global well-posedness for a family of regularized Benjamin-type equations

Global well-posedness for a family of regularized Benjamin-type equations

In this work we prove local and global well-posedness results for the Cauchy problem of a family of regularized nonlinear Benjamin-type equations in both periodic and nonperiodic Sobolev spaces.

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Veröffentlicht in:Nonlinear analysis: real world applications 2024-08, Vol.78, p.104074, Article 104074
Hauptverfasser: Patricio Bastos, Izabela, Alfaro Vigo, Daniel G., Ruiz de Zarate Fabregas, Ailin, Schoeffel, Janaina, Niche, César J.
Format: Artikel
Sprache:eng
Schlagworte:
Dispersive models
Internal waves
Pseudodifferential operators
Regularized Benjamin-type equations
Well-posedness for PDEs
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Zusammenfassung:In this work we prove local and global well-posedness results for the Cauchy problem of a family of regularized nonlinear Benjamin-type equations in both periodic and nonperiodic Sobolev spaces.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2024.104074