A class of exact solutions for two-dimensional equations of geophysical hydrodynamics with two Coriolis parameters

DOI10.26516/1997-7670.2020.32.33zbMath1446.35211OpenAlexW3034208202MaRDI QIDQ2192955

Natal'ya Vladimirovna Burmasheva, Evgeniĭ Yur'evich Prosviryakov

Publication date: 21 August 2020

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1340

zbMATH Keywords

shear flowsoverdetermined systemexact solutionscompatibility conditionslayered flowsCoriolis parameter

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrology, hydrography, oceanography (86A05) Stratification effects in viscous fluids (76D50) Viscous vortex flows (76D17) Overdetermined systems of PDEs with variable coefficients (35N10) PDEs in connection with geophysics (35Q86) Overdetermined problems for partial differential equations and systems of partial differential equations (35N99) Geophysical flows (76U60)

Related Items (6)

Exact solutions to the Oberbeck-Boussinesq equations for shear flows of a viscous binary fluid with allowance made for the Soret effect ⋮ Exact solutions to the Navier-Stokes equations describing stratified fluid flows ⋮ Течение пуазейлевского типа в канале с проницаемыми стенками ⋮ Exact Solutions to the Navier – Stokes Equations for Describing the Convective Flows of Multilayer Fluids ⋮ Plane-Parallel Advective Flow in a Horizontal Layer of Incompressible Permeable Fluid ⋮ Exact solutions for steady convective layered flows with a spatial acceleration

Cites Work

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• Numerical study of the effects occurring near a circular cylinder in stratified fluid flows with short buoyancy periods
• Note on a class of exact solutions in magneto-hydrodynamics
• Nonlinear Gradient Flow of a Vertical Vortex Fluid in a Thin Layer
• Convective layered flows of a vertically whirling viscous incompressible fluid. Velocity field investigation
• Stewartson-layer instability in a wide-gap spherical Couette experiment: Rossby number dependence
• Inhomogeneous Couette flow

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