On the nonlocal boundary value problem of geophysical fluid flows

Wang JinRong; Feckan Michal; Zhang Wenlin

首页> 外文期刊>ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees >On the nonlocal boundary value problem of geophysical fluid flows

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On the nonlocal boundary value problem of geophysical fluid flows

机译：关于地球物理流体流动的非局部边值问题

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摘要

This paper proposes a nonlocal formulation regarding the modeling of Antarctic Circumpolar Current by introducing flow functions to encode horizontal flow components without considering vertical motion. Using topological degree, zero exponent theory and fixed point technique, we show the existence of positive solutions to nonlocal boundary value problems with nonlinear vorticity.

机译：本文提出了一个关于南极绕极流建模的非局部公式，通过引入流函数来编码水平流分量，而不考虑垂直运动。利用拓扑度、零指数理论和不动点技术，证明了具有非线性涡度的非局部边值问题正解的存在性。

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《ZAMP: Zeitschrift fur Angewandte Mathematik und Physik: = Journal of Applied Mathematics and Physics: = Journal de Mathematiques et de Physique Appliquees》 |2021年第1期|共18页
作者
Wang JinRong; Feckan Michal; Zhang Wenlin;
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作者单位

Guizhou Univ Dept Math Guiyang 550025 Guizhou Peoples R China;

Comenius Univ Fac Math Phys &

Informat Dept Math Anal &

Numer Math Bratislava 84248 Slovakia;

Guizhou Univ Dept Math Guiyang 550025 Guizhou Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Nonlocal boundary value problem; Positive solutions; Fredholm operator; Leray-Schauder degree;

机译：非本体边值问题;积极解决方案;Fredholm运营商;Leray-Schauder学位;

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机译：地球物理流体流动二阶微分方程的周期边值问题
5. Book reviews - Geophysical Data Analysis: Discrete Inverse Theory (William Menke), Theoretical Geophysical Fluid Dynamics (A.S. Monin), Asymptotic Modeling of Atmospheric Flows (Radyadour Zeytounian), Atlas of Ozone Spectral Parameters from Microwave to Medium Infrared (Jean-Marie Flaud, Claude Camy-Peyret, Curtis P. Rinsland, May Ann H. Smith and V. Malathy Devi) [J] . Not available Australian Meteorological Oceanographic Journal: Southern hemisphere journal of atmospheric, oceanic and related sciences . 1991,第1期

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机译：天体物理和地球物理流动作为动力系统。 1998年地球物理流体动力学暑期研究项目

On the nonlocal boundary value problem of geophysical fluid flows

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