Fokker–Planck equation for dissipative 2D Euler equations with cylindrical noise
نویسندگان
چکیده
After a short review of recent progresses in 2D Euler equations with random initial conditions and noise, some the results are improved by exploiting priori estimates on associated infinite dimensional FokkerâPlanck equation. The regularity class solutions investigated here does not allow energy- or enstrophy-type estimates, but only bounds probability respect to suitable distributions conditions. This is remarkable application dimensions. Among example we consider Gibbsian measures based renormalized kinetic energy.
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ژورنال
عنوان ژورنال: Theory of Probability and Mathematical Statistics
سال: 2021
ISSN: ['1547-7363', '0094-9000']
DOI: https://doi.org/10.1090/tpms/1130