کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6417101 1338528 2015 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Classical solutions for the ellipsoidal BGK model with fixed collision frequency
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Classical solutions for the ellipsoidal BGK model with fixed collision frequency
چکیده انگلیسی

We establish the existence of global in time smooth solutions for the ellipsoidal BGK model, which is a variant of the BGK model for the Boltzmann equation designed to yield the correct Prandtl number in the hydrodynamic approximation at the Navier-Stokes level. For this, we carefully design a function space which captures the growth of the solution in a weighted Sobolev norm, and show that the ellipsoidal relaxation operator is Lipschitz continuous in the induced metric. This approach is restricted to the case when the collision frequency does not depend on the macroscopic field, but no smallness on the initial data is required.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 259, Issue 11, 5 December 2015, Pages 6009-6037
نویسندگان
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