کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4611600 | 1338631 | 2012 | 59 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On measure solutions of the Boltzmann equation, part I: Moment production and stability estimates
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The spatially homogeneous Boltzmann equation with hard potentials is considered for measure valued initial data having finite mass and energy. We prove the existence of weak measure solutions, with and without angular cutoff on the collision kernel; the proof in particular makes use of an approximation argument based on the Mehler transform. Moment production estimates in the usual form and in the exponential form are obtained for these solutions. Finally for the Grad angular cutoff, we also establish uniqueness and strong stability estimate on these solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 252, Issue 4, 15 February 2012, Pages 3305-3363
Journal: Journal of Differential Equations - Volume 252, Issue 4, 15 February 2012, Pages 3305-3363