کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4614156 | 1339281 | 2016 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Non-autonomous reaction–diffusion model with dynamic boundary conditions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We investigate the dynamics of a non-autonomous reaction–diffusion model with dynamic boundary conditions. We first show that, under the same assumptions, the known L2(Ω)×L2(∂Ω)L2(Ω)×L2(∂Ω) pullback DD-attractor indeed can attract in L2+δ(Ω)×L2+δ(∂Ω)L2+δ(Ω)×L2+δ(∂Ω)-norm for any δ∈[0,∞)δ∈[0,∞); then we prove the continuity of the solution in H1(Ω)×H12(∂Ω) with respect to the initial data, and finally show that such attractor can also attract in H1(Ω)×H12(∂Ω)-norm under a slightly stronger integrability condition on the time-dependent external forcing term. The proofs are based on a new Nash–Moser–Alikakos type a priori estimate about the difference of solutions near the initial time.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 443, Issue 2, 15 November 2016, Pages 1007–1032
Journal: Journal of Mathematical Analysis and Applications - Volume 443, Issue 2, 15 November 2016, Pages 1007–1032
نویسندگان
Chunyou Sun, Wen Tan,