کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4610298 | 1338555 | 2015 | 28 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Exponential convergence towards stationary states for the 1D porous medium equation with fractional pressure
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We analyse the asymptotic behaviour of solutions to the one dimensional fractional version of the porous medium equation introduced by Caffarelli and Vázquez [1] and [2], where the pressure is obtained as a Riesz potential associated with the density. We take advantage of the displacement convexity of the Riesz potential in one dimension to show a functional inequality involving the entropy, entropy dissipation, and the Euclidean transport distance. An argument by approximation shows that this functional inequality is enough to deduce the exponential convergence of solutions in self-similar variables to the unique steady states.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 258, Issue 3, 1 February 2015, Pages 736–763
Journal: Journal of Differential Equations - Volume 258, Issue 3, 1 February 2015, Pages 736–763
نویسندگان
J.A. Carrillo, Y. Huang, M.C. Santos, J.L. Vázquez,