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Exponential Attractor for a Nonlinear Boussinesq Equation 被引量：1

Exponential Attractor for a Nonlinear Boussinesq Equation
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摘要 This paper is devoted to prove the existence of an exponential attractor for the semiflow generated by a nonlinear Boussinesq equation. We formulate the Boussinesq equation as an abstract equation in the Hilbert space H0^2（0, 1） × L^2（0, 1）. The main step in this research is to show that there exists an absorbing set for the solution semiflow in the Hilbert space H0^3（0, 1） × H0^1（0, 1）. This paper is devoted to prove the existence of an exponential attractor for the semiflow generated by a nonlinear Boussinesq equation. We formulate the Boussinesq equation as an abstract equation in the Hilbert space H0^2（0, 1） × L^2（0, 1）. The main step in this research is to show that there exists an absorbing set for the solution semiflow in the Hilbert space H0^3（0, 1） × H0^1（0, 1）.
作者 Ahmed Y. Abdallah
机构地区 Departmcnt of Mathematics
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2006年第3期443-450,共8页 应用数学学报（英文版）
关键词 Boussinesq equation absorbing set exponential attractor Boussinesq equation, absorbing set, exponential attractor
分类号 O177 [理学—基础数学]
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参考文献10

  • 1Abdallah, A.Y., You, Y. Finite dimensional global attractor for damped nonlinear Boussinesq equations.J. Diff. Eqn., submitted.
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Acta Mathematicae Applicatae Sinica
2006年 第3期

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