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- 2017
耦合吊桥方程指数吸引子的存在性
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Abstract:
运用所谓的加强的平坦性条件,证明了耦合吊桥方程指数吸引子的存在性,并且改进和推广了一些已有结果.
In this paper, the existence of exponential attractors for the coupled suspension bridge equation is proved by using the so called enhanced flattening property, and some known results are improved and extended
[1] | 汪璇, 马群, 马巧珍. 吊桥方程指数吸引子的存在性[J]. 西北师范大学学报(自然科学版), 2015, 51(5): 4-8. |
[2] | ZHONG C K, MA Q Z, SUN C Y. Existence of Strong Solutions and Global Attractors for the Suspension Bridge Equations[J]. Nonlinear Anal, 2007, 67: 442-454. DOI:10.1016/j.na.2006.05.018 |
[3] | 马巧珍, 周富敏. 具有双非线性项的吊桥方程一致吸引子的存在性[J]. 西北师范大学学报(自然科学版), 2013, 49(5): 7-9. |
[4] | MA Q Z, ZHONG C K. Existence of Strong Solutions and Attractors for the Coupled Suspension Bridge Equations[J]. J Diff Equas, 2009, 246: 3755-3775. DOI:10.1016/j.jde.2009.02.022 |
[5] | 马巧珍, 张翠. 无界区域R上吊桥方程的全局吸引子[J]. 西北师范大学学报(自然科学版), 2014, 50(6): 1-4. |
[6] | MA Q Z, WANG S P, CHEN X B. Uniform Compact Attractors for the Coupled Suspension Bridge Equations[J]. Applied Mathematics and Computeation, 2011, 217(16): 6604-6615. |
[7] | LAZER A C, MCKENNA P J. Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connection with Nonlinear Analysis[J]. SIAM Rev, 1990, 32(4): 537-578. DOI:10.1137/1032120 |
[8] | LI Y, WU H, ZHAO T. Necessary and Sufficient Conditions for the Existence of Exponential Attractors for Semigroups and Applications[J]. Nonlinear Anal, 2012, 75: 6297-6305. DOI:10.1016/j.na.2012.07.003 |