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具有强阻尼的非自治 Kirchhoff 型波方程的时间依赖拉回吸引子

The Pullback Attractors forNon-Autonomous Kirchhoff-TypeWave Equation with Strong Damping
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摘要 本文研究了带有强阻尼和非线性扰动的非自治 Kirchhoff 波方程解的渐近性。运用收缩函数和渐近先验估计的方法验证了时间依赖拉回吸引子的存在性。 In this paper, we study the asymptotic behavior of solutions of Non-autonomous Kirchhoff-type wave equations with strong damping and nonlinear perturbations. The existence of time-dependent pullback attractors is verified by using contraction func- tion and asymptotic prior estimation.
作者 田凯鸿 汪璇
机构地区 西北师范大学
出处 《应用数学进展》 2022年第7期4562-4577,共16页 Advances in Applied Mathematics
关键词 收缩函数 时间依赖拉回吸引子 强阻尼 Kirchhoff波方程
分类号 O175 [理学—基础数学]
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  • 1CHEPYZHOV V V, VISHIK M I. Attractors for equations of mathematical physics [ M ]. Providence, RI : American Mathematical Society, 2002.
  • 2MARIN-RUBIO P, REAL J. On the relation between two different concepts of pullback attractors for non-autonomous dynamical systems [ J ]. Non- linear Analysis: Theory, Methods & Applications, 2009, 71 (9) : 3956-3963.
  • 3CARABALLO T, LUKASZEWICZ G, REAL J. Pullback attractors for asymptotically compact non-antonomous dynamical systems [ J ]. Nonlinear Analysis: Theory, Methods & Applications, 2006, 64 ( 3 ) : 484 - 498.
  • 4GARCIA-LUENGO J, MARIN-RUBIO P, REAL J. Pullback attractors in V for non-autonomous 2D-Navier-Stokes equations and their tempered be- haviour [ J ]. Journal of Differential Equations, 2012, 252 (8) : 4333 - 4356.
  • 5BELLERI V, PATA V. Attractors for semilinear strongly damped wave equations on R3 [ J]. Discrete and Continuous Dynamical Systems, 2001, 7(4) : 719 -736.
  • 6PATA V, SQUASSINA M. On the strongly damped wave equation [ J ]. Communications in Mathematical Physics, 2005, 253 ( 3 ) : 511 - 533.
  • 7TEMAN R. Infinite-dimensional dynamical systems in mechanics and physics[ M ]. New York: Springer, 1997.
  • 8DELL' ORO F. Global attractors for strongly damped wave equations with subcritical-critieal nonlinearities[ J]. Communications on Pure and Ap- plied Analysis, 2013, 12(2): 1015-1027.
  • 9DELL' ORO F, PATA V. Long-term analysis of strongly damped nonlinear wave equations[J]. Nonlinearity, 2011, 24(12) : 3413 -3435.
  • 10DELL' ORO F, PATA V. Strongly damped wave equations with critical nonlinearities [ J ]. Nonlinear Analysis: Theory, Methods & Applications, 2012, 75 (14) : 5723 - 5735.

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应用数学进展
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