Regularity criteria of supercritical beta-generalized quasi-geostrophic equations in terms of partial derivatives

We study the two-dimensional beta-generalized supercritical quasi-geostrophic equation, and in particular show that to obtain global regularity results, one needs to bound only its partial derivative. Results may be generalized to similar active scalars, e.g. the porous media equation.

Номзүйн дэлгэрэнгүй

Үндсэн зохиолч:	Kazuo Yamazaki
Формат:	Artigo
Хэл сонгох:	Inglês
Хэвлэсэн:	Texas State University 2013-09-01
Цуврал:	Electronic Journal of Differential Equations
Нөхцлүүд:	Quasi-geostrophic equation porous media equation regularity criteria
Онлайн хандалт:	http://ejde.math.txstate.edu/Volumes/2013/217/abstr.html
Шошгууд:	Шошго нэмэх Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!