Open AccessOn the solutions for a Benney-Lin type equation
Author(s) -
Giuseppe Maria Coclite,
Lorenzo di Ruvo
Publication year - 2022
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2022024
Subject(s) - cauchy problem , cauchy distribution , type (biology) , initial value problem , mathematics , mathematical physics , mathematical analysis , geology , paleontology
The Benney-Lin equation describes the evolution of long waves in various problems in fluid dynamics. In this paper, we prove the well-posedness of the Cauchy problem, associated with this equation.