کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4615027 1339306 2015 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Long time behavior of solutions to the compressible MHD system in multi-dimensions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Long time behavior of solutions to the compressible MHD system in multi-dimensions
چکیده انگلیسی

In this paper, we consider the initial value problem for the compressible MHD system in multi-dimensions. Under suitable conditions on the initial value, the global existence and long time behavior of classical solutions are established. Moreover, we also show that the solution can be approximated by the linear solution as time tends to infinity. The proof is based on the decay properties of solution operator to the compressible MHD system, which may be given in terms of the heat kernel and the solution operator to a linear wave equation that is corresponding to the density function. The decay properties of solution operators to the compressible MHD system may be derived from the pointwise estimate of solution operator to the linear wave equation. Finally, asymptotic profile to the linear system is also established.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 429, Issue 2, 15 September 2015, Pages 1033–1058
نویسندگان
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