Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations
نویسندگان
چکیده
منابع مشابه
Hölder continuity of solutions of supercritical dissipative hydrodynamic transport equations
We examine the regularity of weak solutions of quasi-geostrophic (QG) type equations with supercritical (α < 1/2) dissipation (−∆). This study is motivated by a recent work of Caffarelli and Vasseur, in which they study the global regularity issue for the critical (α = 1/2) QG equation [2]. Their approach successively increases the regularity levels of Leray-Hopf weak solutions: from L to L∞, f...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2009
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2007.10.002