کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616064 1339338 2014 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global attractors for the complex Ginzburg–Landau equation
ترجمه فارسی عنوان
جذب جهانی برای معادله گینزبورگ معادله لانداو
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

This paper concerns the long-time behavior of the following complex Ginzburg–Landau equations∂u∂t−(λ+iα)Δu+(κ+iβ)|u|p−2u−γu=0 without any restriction on p>2p>2 under the assumptions (1.4). We first prove the well-posedness of strong solutions for the complex Ginzburg–Landau equations, and then the existence of absorbing sets in L2(Ω)L2(Ω), H01(Ω)∩Lp(Ω) and H2(Ω)∩L2(p−1)(Ω)H2(Ω)∩L2(p−1)(Ω), respectively, for the semigroup {S(t)}t⩾0{S(t)}t⩾0 generated by (1.1)–(1.3) is established. Finally, we prove the existence of global attractors in L2(Ω)L2(Ω) and H01(Ω) for the semigroup {S(t)}t⩾0{S(t)}t⩾0 generated by (1.1)–(1.3) by the Sobolev compactness embedding theorem and prove the existence of global attractor in Lp(Ω)Lp(Ω) for the semigroup {S(t)}t⩾0{S(t)}t⩾0 generated by (1.1)–(1.3) using interpolation inequality.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 415, Issue 1, 1 July 2014, Pages 14–24
نویسندگان
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