کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898992 1631507 2018 46 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global solvability of the Navier-Stokes equations with a free surface in the maximal Lp-Lq regularity class
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Global solvability of the Navier-Stokes equations with a free surface in the maximal Lp-Lq regularity class
چکیده انگلیسی
We consider the motion of incompressible viscous fluids bounded above by a free surface and below by a solid surface in the N-dimensional Euclidean space for N≥2. The aim of this paper is to show the global solvability of the Navier-Stokes equations with a free surface, describing the above-mentioned motion, in the maximal Lp-Lq regularity class. Our approach is based on the maximal Lp-Lq regularity with exponential stability for the linearized equations, and also it is proved that solutions to the original nonlinear problem are exponentially stable.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 264, Issue 3, 5 February 2018, Pages 1475-1520
نویسندگان
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