کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4613656 1338772 2006 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the continuation principles for the Euler equations and the quasi-geostrophic equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On the continuation principles for the Euler equations and the quasi-geostrophic equation
چکیده انگلیسی

We obtain new continuation principle of the local classical solutions of the 3D Euler equations, where the regularity condition of the direction field of the vorticiy and the integrability condition of the magnitude of the vorticity are incorporated simultaneously. The regularity of the vorticity direction field is most appropriately measured by the Triebel–Lizorkin type of norm. Similar result is also obtained for the inviscid 2D quasi-geostrophic equation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 227, Issue 2, 15 August 2006, Pages 640-651