Well-posedness and controllability of a nonlinear system for surface waves

Autor: Alex Montes, Ricardo Córdoba
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 31, Pp 1-40 (2024)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2024.1.31
Popis: In this paper we study the well-posedness for the periodic Cauchy problem and the internal controllability of a one-dimensional system that describes the propagation of long water waves with small amplitude in the presence of surface tension. The well-posedness is proved by using the Fourier transform restriction method and the controllability is proved by using the moment method.
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