کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7221947 | 1470385 | 2018 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A remark on the existence of a class of stretched 212D Magnetohydrodynamics flow
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider the existence of a class of stretched solutions of 212D Magnetohydrodynamics equations in R3, which are sometimes called the columnar or two and half dimensional flows. The third components of the state variables have the form u3=x3γ1(x1,x2)+Ï1(x1,x2) and B3=x3γ2(x1,x2)+Ï2(x1,x2)
and the first two components of the state variables depend on x1 and x2 only. We prove the local existence of such a flow in Sobolev spaces and give the regularity criteria in terms of 2D vorticity Ï or 2D magnetic density j (but not both). Next, we identify the global existence of a class of axisymmetric flow without swirl for both velocity and magnetic field as a corollary of the main theorem. Finally, we present some exact global solutions as well as singular solutions with a special structure for viscous case and some exact global solutions for full inviscid case.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 44, December 2018, Pages 365-384
Journal: Nonlinear Analysis: Real World Applications - Volume 44, December 2018, Pages 365-384
نویسندگان
Minkyu Kwak, Bataa Lkhagvasuren,