Publications [#330291] of Alexander A. Kiselev

Papers Published

1. Dabkowski, M; Kiselev, A; Vicol, V, Global well-posedness for a slightly supercritical surface quasi-geostrophic equation, Nonlinearity, vol. 25 no. 5 (May, 2012), pp. 1525-1535, IOP Publishing [doi]
   (last updated on 2025/01/30)

   Abstract:
   We use a non-local maximum principle to prove the global existence of smooth solutions for a slightly supercritical surface quasi-geostrophic equation. By this we mean that the velocity field u is obtained from the active scalar by a Fourier multiplier with symbol iζ ⊥|ζ| -1m(|ζ|), where m is a smooth increasing function that grows slower than log log|ζ| as |ζ| → ∞. © 2012 IOP Publishing Ltd & London Mathematical Society.