Finite-time blowup for the 3-D viscous primitive equations of oceanic and atmospheric dynamics

Abstract In this paper, we prove that for certain class of initial data, the corresponding solutions to the 3-D viscous primitive equations blow up in finite time. Specifically, we find a special solution to simplify the 3-D systems, assuming that the pressure function p ( x , y , t ) $p(x,y,t)$ is...

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Bibliographic Details
Main Author: Lin Zheng
Format: Article
Language:English
Published: SpringerOpen 2024-04-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-024-01858-y