Year: 2023
Author: Mingyue Lin, Jingjun Zhang
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 2 : pp. 377–393
Abstract
In this paper, we consider a four-waves coupled system which describes the interaction between particles. Based on the uniform bound and the strong convergence property in the lower order norm, local existence and uniqueness of smooth solution are established by a limiting argument. Moreover, we show that the solution exists globally in the two-dimensional case under certain condition on the size for $L^2$ norm of the initial data.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.377
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 2 : pp. 377–393
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Existence and uniqueness global solution four-waves coupled system.