کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4663360 1345259 2016 42 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global existence of weak solutions to the non-isothermal nematic liquid crystals in 2D
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Global existence of weak solutions to the non-isothermal nematic liquid crystals in 2D
چکیده انگلیسی

In this article, we prove the global existence of weak solutions to the non-isothermal nematic liquid crystal system on 2, on the basis of a new approximate system which is different from the classical Ginzburg-Landau approximation. Local in space energy inequalities are employed to recover the estimates on the second order spatial derivatives of the director fields locally in time, which cannot be derived from the basic energy balance. It is shown that these weak solutions satisfy the temperature equation, and also the total energy equation but away from at most finite many “singular” times, at which the energy concentration occurs and the director field losses its second order derivatives.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 36, Issue 4, July 2016, Pages 973–1014
نویسندگان
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