Spatial wave solutions for generalized atmospheric Ekman equations

被引:3
作者
Feckan, Michal [1 ,2 ]
Guan, Yi [3 ,4 ,5 ,6 ]
Wang, JinRong [3 ,4 ,5 ,6 ]
机构
[1] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal & Numer Math, Mlynska Dolina, Bratislava 84248, Slovakia
[2] Slovak Acad Sci, Math Inst, Stefanikova 49, Bratislava 81473, Slovakia
[3] Guizhou Univ, Dept Math & Supercomp Algorithm, Guiyang 550025, Guizhou, Peoples R China
[4] Guizhou Univ, Applicat Lab, Guiyang 550025, Guizhou, Peoples R China
[5] Guizhou Univ, Guian Sci Innovat Co, Guiyang 550025, Guizhou, Peoples R China
[6] Guiyang Univ, Sch Math & Informat Sci, Guiyang 550005, Guizhou, Peoples R China
基金
中国国家自然科学基金;
关键词
generalized atmospheric Ekman equations; nonlinear and implicit equa-tions; spatial wave solutions; FLOWS;
D O I
10.14232/ejqtde.2022.1.63
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we use Prandtl mixing-length theory and semiempirical the-ory to extend the classical problem of the wind in the steady atmospheric Ekman layer with constant eddy viscosity.New generalized atmospheric Ekman equations are estab-lished and qualitative properties of the corresponding ODEs are studied. Spatial wave solutions results for the nonlinear and implicit equations with different nonlinearities are presented.
引用
收藏
页码:1 / 22
页数:22
相关论文
共 35 条
[1]  
[Anonymous], 2016, Atmosphere, Ocean and Climate Dynamics: an Introductory Text
[2]  
[Anonymous], 2008, DIFFERENTIAL ALGEBRA
[3]   The Deflection Angle of Surface Ocean Currents From the Wind Direction [J].
Bressan, A. ;
Constantin, A. .
JOURNAL OF GEOPHYSICAL RESEARCH-OCEANS, 2019, 124 (11) :7412-7420
[4]   Equatorial Wave-Current Interactions [J].
Constantin, A. ;
Ivanov, R. I. .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2019, 370 (01) :1-48
[5]   On the Nonlinear, Three-Dimensional Structure of Equatorial Oceanic Flows [J].
Constantin, A. ;
Johnson, R. S. .
JOURNAL OF PHYSICAL OCEANOGRAPHY, 2019, 49 (08) :2029-2042
[6]   Atmospheric Ekman Flows with Variable Eddy Viscosity [J].
Constantin, A. ;
Johnson, R. S. .
BOUNDARY-LAYER METEOROLOGY, 2019, 170 (03) :395-414
[7]   Ekman-type solutions for shallow-water flows on a rotating sphere: A new perspective on a classical problem [J].
Constantin, A. ;
Johnson, R. S. .
PHYSICS OF FLUIDS, 2019, 31 (02)
[8]   The dynamics of waves interacting with the Equatorial Undercurrent [J].
Constantin, A. ;
Johnson, R. S. .
GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, 2015, 109 (04) :311-358
[9]   The deflection angle between a wind-forced surface current and the overlying wind in an ocean with vertically varying eddy viscosity [J].
Constantin, Adrian ;
Dritschel, David G. ;
Paldor, Nathan .
PHYSICS OF FLUIDS, 2020, 32 (11)
[10]   Frictional effects in wind-driven ocean currents [J].
Constantin, Adrian .
GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, 2021, 115 (01) :1-14