کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4609311 1338505 2016 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Regularity criterion for the 3D Hall-magneto-hydrodynamics
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Regularity criterion for the 3D Hall-magneto-hydrodynamics
چکیده انگلیسی

This paper studies the regularity problem for the 3D incompressible resistive viscous Hall-magneto-hydrodynamic (Hall-MHD) system. The Kolmogorov 41 phenomenological theory of turbulence [14] predicts that there exists a critical wavenumber above which the high frequency part is dominated by the dissipation term in the fluid equation. Inspired by this idea, we apply an approach of splitting the wavenumber combined with an estimate of the energy flux to obtain a new regularity criterion. The regularity condition presented here is weaker than conditions in the existing criteria (Prodi–Serrin type criteria) for the 3D Hall-MHD system.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 261, Issue 1, 5 July 2016, Pages 573–591
نویسندگان
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