کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4614362 | 1339288 | 2016 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Classical solutions to the Fokker–Planck–BGK equation with infinite energy
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Classical solutions to the Fokker–Planck–BGK equation with infinite energy Classical solutions to the Fokker–Planck–BGK equation with infinite energy](/preview/png/4614362.png)
چکیده انگلیسی
We consider the BGK equation perturbed by Fokker–Planck operator, which is important in the kinetic theory of rarefied gases. This model equation, which we call the Fokker–Planck–BGK equation, has many physical features that the Fokker–Planck–Boltzmann equation possesses. By establishing a new moments lemma and L∞L∞ bounds for macroscopic quantities without the boundedness of energy, we get several global existence and uniqueness results to the Cauchy problem of the Fokker–Planck–BGK equation under various circumstances with infinite energy.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 437, Issue 2, 15 May 2016, Pages 816–840
Journal: Journal of Mathematical Analysis and Applications - Volume 437, Issue 2, 15 May 2016, Pages 816–840
نویسندگان
Zili Chen,