کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4617161 1339371 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Local solvability and loss of smoothness of the Navier–Stokes–Maxwell equations with large initial data
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Local solvability and loss of smoothness of the Navier–Stokes–Maxwell equations with large initial data
چکیده انگلیسی

The existence of a local-in-time unique solution and loss of smoothness of a full Magneto-Hydro-Dynamics (MHD) system are considered for periodic initial data. The result is proven using Fujita–Kato’s method in ℓ1ℓ1 based (for the Fourier coefficients) functional spaces enabling us to easily estimate nonlinear terms in the system as well as solutions to Maxwell’s equations. A loss of smoothness result is shown for the velocity and magnetic field. It comes from the damped-wave operator which does not have any smoothing effect.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 396, Issue 2, 15 December 2012, Pages 555–561
نویسندگان
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