کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616805 1339359 2013 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global classical solutions for 3D compressible Navier-Stokes equations with vacuum and a density-dependent viscosity coefficient
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Global classical solutions for 3D compressible Navier-Stokes equations with vacuum and a density-dependent viscosity coefficient
چکیده انگلیسی
In this paper, we prove the global existence of classical solutions to the three-dimensional (3D) compressible Navier-Stokes equations with a density-dependent viscosity coefficient (λ=λ(ρ)) provided the initial data is of small energy. This in particular implies that the solutions may have large oscillations and contain vacuum states. As a result of the uniform estimates, the large-time behavior of the solution is also studied. The result obtained generalizes those results in Zhang (2011) [39] and Huang et al. (2012) [17] where the non-vacuum initial data and the constant viscosity coefficients are considered, respectively.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 401, Issue 2, 15 May 2013, Pages 795-810
نویسندگان
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