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非自治半线性热黏弹性问题的一致吸引子的维数(英文)
引用本文:李红艳,周盛凡. 非自治半线性热黏弹性问题的一致吸引子的维数(英文)[J]. 东北数学, 2008, 24(4): 337-353
作者姓名:李红艳  周盛凡
作者单位:School of Management Studies;Shanghai University of Engineering Science;Shanghai;201620);Department of Mathematics;Shanghai Normal University;200234;
基金项目:The NSF(10771139)of China; Special Fund(gjd-07011)of Scientific Research for Shang-hai's Excellent Young College Teachers; Key Subjects(xk0704)on Management Science and Engineering.
摘    要:In this paper, we prove the existence of a uniform attractor for the process associated with a non-antonomous semilinear thermoelastic problem. And under the certain parameter, we obtain an upper bound for the Hausdorff dimension of the uniform attractor.

关 键 词:非自治半线性  热黏弹性问题  一致吸引子  维数

Dimension of the Uniform Attractor for a Non-autonomous Semilinear Thermoelastic Problem
LI Hong-yan School of Management Studies,Shanghai University of Engineering Science,Shanghai, ZHOU Sheng-fan. Dimension of the Uniform Attractor for a Non-autonomous Semilinear Thermoelastic Problem[J]. Northeastern Mathematical Journal, 2008, 24(4): 337-353
Authors:LI Hong-yan School of Management Studies  Shanghai University of Engineering Science  Shanghai   ZHOU Sheng-fan
Affiliation:[1]School of Management Studies, Shanghai University of Engineering Science, Shanghai, 201620 [2]Department of Mathematics, Shanghai Normal University, Shanghai, 200234
Abstract:In thi spaper,we prove the existence of a uniform attractor for the process associated with a non-autonomous semiliuear thermoelastic problem.And under the certain parameter,we obtain an upper bound for the Hausdorff dimension of the uniform attractor.
Keywords:uniform attractor  thermoelastic problem  Hausdorif dimension 2000 MR subject classification:35G25  35G30  35B40
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