Invariant Measures and Global Well Posedness for the SQG Equation
نویسندگان
چکیده
We construct an invariant measure $\mu$ for the Surface Quasi-Geostrophic (SQG) equation and show that almost all functions in support of are initial conditions global, unique solutions SQG, depend continuously on data. In addition, we is infinite dimensional, meaning it not locally a subset any compact set with finite Hausdorff dimension. Also, there global have arbitrarily large condition. The measures obtained via fluctuation-dissipation method, is, as limit stochastic SQG carefully chosen dissipation random forcing.
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2021
ISSN: ['0003-9527', '1432-0673']
DOI: https://doi.org/10.1007/s00205-021-01650-7