In this paper, we are concerned with the Hölder regularity in time of both solutions and their energy for the generalized surface quasi-geostrophic equation.
Hölder regularity in time of solutions to the generalized surface quasi-geostrophic equation. https://doi.org/10.1016/j.aml.2022.108480.
Hölder regularity in time of solutions to the generalized surface quasi-geostrophic equation · Yanqing Wang, Xu Mei, Jitao Liu · Published in Applied Mathematics ...
Hölder regularity in time of solutions to the generalized surface quasi-geostrophic equation. Yanqing Wang, Xue Mei, Jitao Liu. Hölder regularity in time of ...
Abstract. We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical (α < 1/2) dissipa-.
May 2, 2024 · Abstract. We establish the well/ill-posedness theories for the inviscid α-surface quasi-geostrophic (α-SQG) equations in Hölder spaces, ...
A weak solution at the regularity level Cδ with δ > 1 − 2α or higher can not develop finite-time singularity. Remark. Whether δ > 1 − 2α can be removed remains ...
We present a regularity result for weak solutions of the 2D quasi-geostrophic equation with supercritical (α < 1/2) dissipation (−∆)α : If a Leray-Hopf weak ...
another one, giving a fuller characterization of the velocity gradient's regularity. ... allowed to modify slightly the velocity by superimposing a smooth ...
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Wu, Regularity of Hölder continuous solutions of the supercritical quasi- geostrophic equation, arXiv:math/0701592. [11] P. Constantin and J. Wu, Hölder ...