Nonlinear Differential Equations Modeling the Antarctic Circumpolar Current

被引：11

作者：

Chu, Jifeng ^{[1
]}

Marynets, Kateryna ^{[2
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Delft Univ Technol, Delft Inst Appl Math, Mekelweg 4, NL-2628 CD Delft, Netherlands

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2021年 / 23卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Existence; Geophysical flow; Boundary-value problem; Eigenvalues; BOUNDARY-VALUE PROBLEM; FLOW; NONRESONANCE; STEADY; WAVES;

D O I：

10.1007/s00021-021-00618-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study one class of nonlinear differential equations, which model the Antarctic circumpolar current. We prove the existence results for such equations related to the geophysical relevant boundary conditions. First, based on the weighted eigenvalues and the theory of topological degree, we study the semilinear case. Secondly, the existence results for the sublinear and superlinear cases are proved by fixed point theorems.

引用

页数：9

共 30 条

[1]

Buttazzo G., 1998, ONE DIMENSIONAL VARI

[2] On an infinite-interval boundary-value problem in geophysics [J].

Chu, Jifeng .

MONATSHEFTE FUR MATHEMATIK, 2019, 188 (04) :621-628

[3] ON A NONLINEAR INTEGRAL EQUATION FOR THE OCEAN FLOW IN ARCTIC GYRES [J].

Chu, Jifeng .

QUARTERLY OF APPLIED MATHEMATICS, 2018, 76 (03) :489-498

[4] On a differential equation arising in geophysics [J].

Chu, Jifeng .

MONATSHEFTE FUR MATHEMATIK, 2018, 187 (03) :499-508

[5] On a nonlinear model for arctic gyres [J].

Chu, Jifeng .

ANNALI DI MATEMATICA PURA ED APPLICATA, 2018, 197 (03) :651-659

[6] Monotone solutions of a nonlinear differential equation for geophysical fluid flows [J].

Chu, Jifeng .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2018, 166 :144-153

[7] Gerstner waves in the presence of mean currents and rotation [J].

Constantin, A. ;

Monismith, S. G. .

JOURNAL OF FLUID MECHANICS, 2017, 820 :511-528

[8] Large gyres as a shallow-water asymptotic solution of Euler's equation in spherical coordinates [J].

Constantin, A. ;

Johnson, R. S. .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2017, 473 (2200)

[9] An Exact, Steady, Purely Azimuthal Flow as a Model for the Antarctic Circumpolar Current [J].

Constantin, A. ;

Johnson, R. S. .

JOURNAL OF PHYSICAL OCEANOGRAPHY, 2016, 46 (12) :3585-3594

[10] Frictional effects in wind-driven ocean currents [J].

Constantin, Adrian .

GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, 2021, 115 (01) :1-14

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