Dynamic Transitions and Bifurcations for a Class of Axisymmetric Geophysical Fluid Flow

DOI10.1137/20M1321139zbMath1461.76172OpenAlexW3120313957WikidataQ114615455 ScholiaQ114615455MaRDI QIDQ5859791

Daozhi Han, Marco Hernández, Quan Wang

Publication date: 20 April 2021

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1321139

zbMATH Keywords

topographic effecttwo-layer quasi-geostrophic modelaxially symmetric baroclinic flowconcave bathymetrytransition theorem

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Stability and instability of geophysical and astrophysical flows (76E20) Geophysical flows (76U60)

Related Items (4)

Stability and dynamic transition of vegetation model for flat arid terrains ⋮ Dynamical transition and bifurcation of a diffusive predator-prey model with an Allee effect on prey ⋮ Dynamic transitions and bifurcations of 1D reaction-diffusion equations: the non-self-adjoint case ⋮ Hopf bifurcations and transitions of two-dimensional quasi-geostrophic flows

Cites Work

• Unnamed Item
• Unnamed Item
• Pattern formation in Rayleigh-Bénard convection
• Attractors for infinite-dimensional non-autonomous dynamical systems
• The wind-driven ocean circulation: applying dynamical systems theory to a climate problem
• Bifurcation theory. An introduction with applications to partial differential equations
• Stochastic climate dynamics: random attractors and time-dependent invariant measures
• Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems
• Transitions of spherical thermohaline circulation to multiple equilibria
• Rotating Boussinesq equations: dynamic stability and transitions
• Stochastic Swift-Hohenberg equation with degenerate linear multiplicative noise
• Dynamic bifurcation and transition in the Rayleigh-Bénard convection with internal heating and varying gravity
• On the viscous instabilities and transitions of two-layer model with a layered topography
• On the Hopf (double Hopf) bifurcations and transitions of two-layer western boundary currents
• On the stability and bifurcation of the non-rotating Boussinesq equation with the Kolmogorov forcing at a low Péclet number
• \(S^1\) attractor bifurcation analysis for an electrically conducting fluid flow between two rotating cylinders
• Dynamic transition theory for thermohaline circulation
• Finite-horizon parameterizing manifolds, and applications to suboptimal control of nonlinear parabolic PDEs
• Tropical atmospheric circulations: dynamic stability and transitions
• Hopf bifurcation and transition of three-dimensional wind-driven Ocean circulation problem
• Stability and bifurcation of a viscous incompressible plasma fluid contained between two concentric rotating cylinders
• Rayleigh-Bénard convection: dynamics and structure in the physical space
• Pattern formations of 2D Rayleigh-Bénard convection with no-slip boundary conditions for the velocity at the critical length scales
• Phase Transition Dynamics
• Approximation of Stochastic Invariant Manifolds
• Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations
• Spectral Methods
• Dynamic Transitions of Quasi-geostrophic Channel Flow
• Stochastic attractor bifurcation for the two‐dimensional Swift‐Hohenberg equation
• Baroclinic instability of axially symmetric flow over sloping bathymetry
• On the Instabilities and Transitions of the Western Boundary Current
• Tropical atmospheric circulations with humidity effects

This page was built for publication: Dynamic Transitions and Bifurcations for a Class of Axisymmetric Geophysical Fluid Flow