کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1156614 958849 2013 53 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic of grazing collisions for the spatially homogeneous Boltzmann equation for soft and Coulomb potentials
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Asymptotic of grazing collisions for the spatially homogeneous Boltzmann equation for soft and Coulomb potentials
چکیده انگلیسی
We give an explicit bound for the Wasserstein distance with quadratic cost between the solutions of the Boltzmann and Landau equations in the case of soft and Coulomb potentials. This gives an explicit rate of convergence for the grazing collisions limit. Our result is local in time for very soft and Coulomb potentials and global in time for moderately soft potentials.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Stochastic Processes and their Applications - Volume 123, Issue 11, November 2013, Pages 3987-4039
نویسندگان
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