کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8256203 1533946 2018 34 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global classical solution to two-dimensional compressible Navier-Stokes equations with large data in R2
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Global classical solution to two-dimensional compressible Navier-Stokes equations with large data in R2
چکیده انگلیسی
In this paper, we prove the global well-posedness of the classical solution to the 2D Cauchy problem of the compressible Navier-Stokes equations with arbitrarily large initial data and non-vacuum far-fields when the shear viscosity μ is a positive constant and the bulk viscosity λ(ρ)=ρβ with β>43. Note that the initial data can be arbitrarily large with or without vacuum states. For the non-vacuum initial data, our global well-posedness result implies that the classical solution to the 2D Cauchy problem will not develop the vacuum states in any finite time. Moreover, the global well-posedness result still holds true when the initial data contains the vacuum states in a subset of R2 provided some compatibility conditions are satisfied. Some new weighted estimates for the density and the velocity are obtained in this paper and these self-contained estimates reflect the fact that the weighted density and velocity can propagate along with the flow, which are intrinsic to the two-dimensional Cauchy problem with the non-vacuum far-fields.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volumes 376–377, 1 August 2018, Pages 180-194
نویسندگان
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