کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6417017 1338504 2016 49 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows
چکیده انگلیسی

This paper concerns the Cauchy problem of the two-dimensional (2D) nonhomogeneous incompressible nematic liquid crystal flows on the whole space R2 with vacuum as far field density. It is proved that the 2D nonhomogeneous incompressible nematic liquid crystal flows admit a unique global strong solution provided that the initial data density and the gradient of orientation decay not too slow at infinity, and the initial orientation satisfies a geometric condition (see (1.3)). In particular, the initial data can be arbitrarily large and the initial density may contain vacuum states and even have compact support. Furthermore, the large time behavior of the solution is also obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 261, Issue 11, 5 December 2016, Pages 6521-6569
نویسندگان
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