Global large, smooth solutions of the 2D surface quasi‐geostrophic equations
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7392
Abstract: In this paper, we prove the global regularity of smooth solutions to 2D surface quasi‐geostrophic (SQG) equations with supercritical dissipation for a class of large initial data, where the velocity and temperature can be arbitrarily… read more here.
Keywords: surface quasi; large smooth; smooth solutions; global large ... See more keywords
Time Periodic Solutions for 3D Quasi-Geostrophic Model
Sign Up to like & getrecommendations! Published in 2022 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-021-04290-w
Abstract: This paper aims to study time periodic solutions for 3D inviscid quasi-geostrophic model. We show the existence of non trivial rotating patches by suitable perturbation of stationary solutions given by generic revolution shapes around the… read more here.
Keywords: periodic solutions; quasi geostrophic; time periodic; geostrophic model ... See more keywords
Data Assimilation for a Quasi-Geostrophic Model with Circulation-Preserving Stochastic Transport Noise
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-020-02524-0
Abstract: This paper contains the latest installment of the authors’ project on developing ensemble based data assimilation methodology for high dimensional fluid dynamics models. The algorithm presented here is a particle filter that combines model reduction,… read more here.
Keywords: methodology; data assimilation; geostrophic model; model ... See more keywords
Asymptotic behavior for the quasi-geostrophic equations with fractional dissipation in R2
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2018.11.009
Abstract: Abstract In this paper the surface quasi-geostrophic equations (QGE) with fractional dissipation in R 2 are considered. Our aim is to study the long-time behavior of solutions of QGE in the subcritical case. To this… read more here.
Keywords: geostrophic equations; asymptotic behavior; fractional dissipation; behavior quasi ... See more keywords
A Posteriori Learning for Quasi‐Geostrophic Turbulence Parametrization
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Advances in Modeling Earth Systems"
DOI: 10.1029/2022ms003124
Abstract: The use of machine learning to build subgrid parametrizations for climate models is receiving growing attention. State‐of‐the‐art strategies address the problem as a supervised learning task and optimize algorithms that predict subgrid fluxes based on… read more here.
Keywords: posteriori learning; parametrization; subgrid parametrizations; quasi geostrophic ... See more keywords
Baroclinic toroidal quasi-geostrophic vortices
Sign Up to like & getrecommendations! Published in 2020 at "Physics of Fluids"
DOI: 10.1063/5.0005942
Abstract: We investigate the stability and nonlinear evolution of two tori of opposite-signed uniform potential vorticity, located one above the other, in a three-dimensional, continuously stratified, quasi-geostrophic flow. We focus on the formation of hetons as… read more here.
Keywords: geostrophic vortices; toroidal quasi; baroclinic toroidal; opposite signed ... See more keywords
A class of large solutions to the supercritical surface quasi-geostrophic equation
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinearity"
DOI: 10.1088/1361-6544/ab3628
Abstract: Whether or not classical solutions to the surface quasi-geostrophic (SQG) equation can develop finite time singularities remains an outstanding open problem. This paper constructs a class of large global-in-time classical solutions to the SQG equation… read more here.
Keywords: class large; surface quasi; sqg equation; quasi geostrophic ... See more keywords
Contour dynamics for surface quasi-geostrophic fronts
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinearity"
DOI: 10.1088/1361-6544/ab8d16
Abstract: We use contour dynamics to derive equations of motion for infinite planar surface quasi-geostrophic (SQG) fronts, and show that it leads to the same result as a regularization procedure introduced previously by Hunter and Shu… read more here.
Keywords: geostrophic fronts; dynamics surface; surface quasi; contour dynamics ... See more keywords
Multiple zonal jets and convective heat transport barriers in a quasi-geostrophic model of planetary cores
Sign Up to like & getrecommendations! Published in 2017 at "Geophysical Journal International"
DOI: 10.1093/gji/ggx315
Abstract: We study rapidly-rotating Boussinesq convection driven by internal heating in a full sphere. We use a numerical model based on the quasi-geostrophic approximation for the velocity field, whereas the temperature field is three-dimensional. This approximation… read more here.
Keywords: multiple zonal; model; quasi geostrophic; heat ... See more keywords
The Surface Quasi-geostrophic Equation With Random Diffusion
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DOI: 10.1093/imrn/rny261
Abstract: Consider the surface quasi-geostrophic equation with random diffusion, white in time. We show global existence and uniqueness in high probability for the associated Cauchy problem satisfying a Gevrey type bound. This article is inspired by… read more here.
Keywords: geostrophic equation; equation random; surface quasi; random diffusion ... See more keywords
Global Well-Posedness of the Dissipative Quasi-Geostrophic Equation with Dispersive Forcing
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DOI: 10.3390/axioms11120720
Abstract: The dissipative quasi-geostrophic equation with dispersive forcing is considered. By striking new balances between the dispersive effects of the dispersive forcing and the smoothing effects of the viscous dissipation, we obtain the global well-posedness for… read more here.
Keywords: dispersive forcing; dissipative quasi; quasi geostrophic; equation dispersive ... See more keywords