کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4609774 1338527 2014 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Regularity criteria for the three-dimensional magnetohydrodynamic equations
ترجمه فارسی عنوان
معیارهای منظم برای معادلات مغناطیسی هیدرووداینامیکی سه بعدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

This paper studies the three-dimensional density-dependent incompressible magnetohydrodynamic equations. First, a regularity criterion is proved which allows the initial density to contain vacuum. Then we establish another blow-up criterion in the Besov space B˙∞,20 when the positive initial density is bounded away from zero. Third, we prove a global nonexistence result for initial density with high decreasing at infinity. Fourth, we obtain a regularity criterion to the density-dependent incompressible magnetohydrodynamic equations in a bounded domain. Finally, we also give some remarks on the regularity criteria for the three-dimensional full compressible magnetohydrodynamic equations in a bounded domain and for the incompressible homogeneous magnetohydrodynamic equation in the whole space R3R3.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 256, Issue 8, 15 April 2014, Pages 2858–2875
نویسندگان
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