کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
766850 897125 2013 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Blowup rate of isotropic anti-ferromagnetic equation near the equivariant data
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Blowup rate of isotropic anti-ferromagnetic equation near the equivariant data
چکیده انگلیسی

We consider the 2+12+1 dimensional space–time isotropic anti-ferromagnetic equation (IAF for short) to the 2-sphere for equivariant data of homotopy number N⩾1N⩾1. Using the method of matched asymptotic expansions, we present an analysis of the asymptotic behavior of singularities arising in this special class of solutions. Specifically, a sharp description of the corresponding blowup rate and the stability are investigated in settings with certain symmetries. We also find out the blowup behavior of two different IAFs are very different. In the end, the blowup results are verified by numerical experiments.


► Setting of the model.
► Asymptotic analysis of the inner solution.
► Outer solution is presented.
► Construct the blowup rate and discuss the stability.
► Compare the blowup rate of MIAF and OIAF.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 18, Issue 8, August 2013, Pages 2222–2239
نویسندگان
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