کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10729139 | 1038240 | 2011 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Natural curvilinear coordinates for ideal MHD equations. Non-stationary flows with constant total pressure
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Natural curvilinear coordinates for ideal MHD equations. Non-stationary flows with constant total pressure Natural curvilinear coordinates for ideal MHD equations. Non-stationary flows with constant total pressure](/preview/png/10729139.png)
چکیده انگلیسی
Equations of magnetohydrodynamics (MHD) in the natural curvilinear system of coordinates where trajectories and magnetic lines play a role of coordinate curves are reduced to the non-linear vector wave equation coupled with the incompressibility condition in the form of the generalized Cauchy integral. The symmetry group of obtained equation, equivalence transformation, and group classification with respect to the constitutive equation are calculated. New exact solutions with functional arbitrariness describing non-stationary incompressible flows with constant total pressure are given by explicit formulae. The corresponding magnetic surfaces have the shape of deformed nested cylinders, tori, or knotted tubes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 375, Issue 3, 17 January 2011, Pages 283-290
Journal: Physics Letters A - Volume 375, Issue 3, 17 January 2011, Pages 283-290
نویسندگان
Sergey V. Golovin,