کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8959473 | 1646321 | 2018 | 49 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Rates of convergence to equilibrium for collisionless kinetic equations in slab geometry
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Rates of convergence to equilibrium for collisionless kinetic equations in slab geometry Rates of convergence to equilibrium for collisionless kinetic equations in slab geometry](/preview/png/8959473.png)
چکیده انگلیسی
This work deals with free transport equations with partly diffuse stochastic boundary operators in slab geometry. Such equations are governed by stochastic semigroups in L1 spaces. We prove convergence to equilibrium at the rate O(tâk2(k+1)+1)(tâ+â) for L1 initial data g in a suitable subspace of the domain of the generator T where kâN depends on the properties of the boundary operators near the tangential velocities to the slab. This result is derived from a quantified version of Ingham's tauberian theorem by showing that Fg(s):=limεâ0+â¡(is+εâT)â1g exists as a Ck function on R\{0} such that âdjdsjFg(s)ââ¤C|s|2(j+1) near s=0 and bounded as |s|ââ(0â¤jâ¤k). Various preliminary results of independent interest are given and some related open problems are pointed out.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 275, Issue 9, 1 November 2018, Pages 2404-2452
Journal: Journal of Functional Analysis - Volume 275, Issue 9, 1 November 2018, Pages 2404-2452
نویسندگان
Mustapha Mokhtar-Kharroubi, David Seifert,