کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4592839 | 1335151 | 2008 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Nonexistence of self-similar singularities in the viscous magnetohydrodynamics with zero resistivity
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Nonexistence of self-similar singularities in the viscous magnetohydrodynamics with zero resistivity Nonexistence of self-similar singularities in the viscous magnetohydrodynamics with zero resistivity](/preview/png/4592839.png)
چکیده انگلیسی
We are concerned on the possibility of finite time singularity in a partially viscous magnetohydrodynamic equations in Rn, n=2,3, namely the MHD with positive viscosity and zero resistivity. In the special case of zero magnetic field the system reduces to the Navier–Stokes equations in Rn. In this paper we exclude the scenario of finite time singularity in the form of self-similarity, under suitable integrability conditions on the velocity and the magnetic field. We also prove the nonexistence of asymptotically self-similar singularity. This provides us information on the behavior of solutions near possible singularity of general type as described in Corollary 1.1.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 254, Issue 2, 15 January 2008, Pages 441-453
Journal: Journal of Functional Analysis - Volume 254, Issue 2, 15 January 2008, Pages 441-453