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
A class of large solutions to the supercritical surface quasi-geostrophic equation
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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
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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
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