JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (2): 58-63.doi: 10.6040/j.issn.1671-9352.0.2024.334
ZHANG Fanghong
CLC Number:
| [1] 尚亚东. 方程utt-Δu-Δut-Δutt=f(u)的初边值问题[J]. 应用数学学报,2000,3:385-393. SHANG Yadong. Intial boundary value problem of equation utt-Δu-Δut-Δutt=f(u)[J]. Acta Mathematicae Applicatae Sinica, 2000, 3:385-393. [2] XIE Yongqin, ZHONG Chengkui. The existence of global attractors for a class nonlinear evolution equation[J]. Journal of Mathematical Analysis and Applications, 2007, 336:54-69. [3] CARVALHO A N, CHOLEWA J W. Local well posedness, asymptotic behavior and asymptotic bootstrapping for a class of semilinear evolution equations of the second order in time[J]. Transactions of the American Mathematical Society, 2009, 361:2567-2586. [4] SUN Chunyou, YANG Lu, DUAN Jinqiao. Asymptotic behavior for a semilinear second order evolution equation[J]. Transactions of the American Mathematical Society, 2011, 363:6085-6109. [5] ZHANG Fanghong, WANG Shanlin, WANG Lihong. Robust exponential attractors for a class of non-autonomous semi-linear second-order evolution equation with memory and critical nonlinearity[J]. Applicable Analysis, 2019, 98:1052-1084. [6] JONES R, WANG B X. Asymptotic behavior of a class of stochastic nonlinear wave equations with dispersive and dissipative terms[J]. Nonlinear Analysis Real World Applications, 2013, 14:1308-1322. [7] CARABALLO T, GUO B L, TUAN N H, WANG R H. Asymptotically autonomous robustness of random attractors for a class of weakly dissipative stochastic wave equations on unbounded domains[J]. Proceedings of the Royal Society of Edinburgh: Section A Mathematic, 2021, 151:1700-1730. [8] ZHANG Fanghong. Bi-space global attractors for a class of second-order evolution equations with dispersive and dissipative terms in locally uniform spaces[J]. Meiditerranean Journal of Mathematics, 2023, 219:1-27. [9] WANG Yejuan, QIN Yizhao, WANG Jinyu. Pullback attractors for a strongly damped delay wave equation in Rn[J]. Stochastics and Dynamics, 2018, 18:1-24. [10] CARABALLO T, MARÍN-RUBIO P, VALERO J. Attractors for differential equations with unbounded delays[J]. Journal Differential Equations, 2007, 239:311-342. [11] WANG Yejuan. Pullback attractors for a damped wave equation with delays[J]. Stochastics and Dynamics, 2015, 15:31-51. [12] WANG Yejuan, ZHOU Shengfan. Kernel sections of multi-valued processes with application to the nonlinear reaction-diffusion equations in unbounded domains[J]. Quarterly of Applied Mathematics, 2009, 67:343-378. [13] CHEPYZHOV V, VISHIK M. Attractors for equations of mathematical physics[M]. Providence: American Mathematical Society, 2001:282-287. [14] ROBINSON C. Infinite-dimensional dynamincal systems: an introduction to disspative parabolic PDEs and the theory of global attractors[M]. Cambridge: Cambridge Universlty Press, 2001:22-95. [15] TEMAM R. Infinite-dimensional dynamical systems in mechanics and physic[M]. New York: Springer, 1997:212-226. [16] MORILLAS F, JOSÉ VALERO. Attractors for reaction-diffusion equations in RN with continuous nonlinearity[J]. Asymptotic Analysis, 2005, 44:1-19. |
| [1] | WU Xiao-xia, MA Qiao-zhen. Time-dependent attractors of the wave equations with strong damping on Rn [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(6): 22-29. |
| [2] | BIAN Dong-fen, YUAN Bao-quan*. On the nonexistence of global weak solutions to the compressible MHD equations [J]. J4, 2011, 46(4): 42-48. |
|
||
