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

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-04-11 DOI:10.1186/s13661-024-01858-y

Lin Zheng

引用次数: 0

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 $p(x,y,t)$ is a concave function. We also consider the equations on the line $x=0$ , $y=0$ .

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海洋和大气动力学三维粘性原始方程的有限时间爆炸

在本文中，我们证明了对于某类初始数据，三维粘性基元方程的相应解会在有限时间内炸毁。具体来说，假设压力函数 $p(x,y,t)$ 是一个凹函数，我们会找到一个简化三维系统的特殊解。我们还考虑了直线 $x=0$ , $y=0$ 上的方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.