Construction of solutions of the critical SQG equation in bounded domains
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.05.034
Abstract: Abstract We consider the critical dissipative SQG equation in bounded domains, with the square root of the Dirichlet Laplacian dissipation. We construct global bounded interior Lipschitz solutions from arbitrary large bounded interior Lipschitz initial data. read more here.
Keywords: sqg equation; equation bounded; construction solutions; bounded domains ... See more keywords
On the global classical solutions for the generalized SQG equation
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DOI: 10.1016/j.jfa.2022.109503
Abstract: In this paper, we study the existence of global classical solutions to the generalized surface quasi-geostrophic equation. By using the variational method, we provide some new families of global classical solutions for to the generalized… read more here.
Keywords: generalized sqg; sqg equation; classical solutions; global classical ... 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