Details

Autor(en) / Beteiligte

• Caffarelli, Luis A.
• Vasseur, Alexis

Titel

Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation

Ist Teil von

• Annals of mathematics, 2010-05, Vol.171 (3), p.1903-1930

Ort / Verlag

Princeton, NJ: Dept. of Mathematics, Princeton University

Erscheinungsjahr

2010

Link zum Volltext

Quelle

Free E-Journal (出版社公開部分のみ）

Beschreibungen/Notizen

• Motivated by the critical dissipative quasi-geostrophic equation, we prove that drift-diffusion equations with L² initial data and minimal assumptions on the drift are locally Hölder continuous. As an application we show that solutions of the quasi-geostrophic equation with initial L² data and critical diffusion (—Δ) 1/2 are locally smooth for any space dimension.