Optimal controls of multidimensional modified Swift–Hohenberg equation

作者: Jiashan Zheng

DOI: 10.1080/00207179.2015.1038587

关键词:

摘要: In this paper, we deal with the optimal control problem governed by multidimensional modified Swift–Hohenberg equation. After showing relationship between and its approximation, derive optimality conditions for an of our original using one approximate problems.

参考文章(24)
C. Moroşanu, G. Wang, State-Constrained Optimal Control for the Phase-Field Transition System Numerical Functional Analysis and Optimization. ,vol. 28, pp. 379- 403 ,(2007) , 10.1080/01630560701250119
Lingyu Song, Yindi Zhang, Tian Ma, Global attractor of a modified Swift–Hohenberg equation in spaces Nonlinear Analysis: Theory, Methods & Applications. ,vol. 72, pp. 183- 191 ,(2010) , 10.1016/J.NA.2009.06.103
R. E. LaQuey, S. M. Mahajan, P. H. Rutherford, W. M. Tang, Nonlinear Saturation of the Trapped-Ion Mode Physical Review Letters. ,vol. 34, pp. 391- 394 ,(1975) , 10.1103/PHYSREVLETT.34.391
Gengsheng Wang, Optimal Controls of 3-Dimensional Navier--Stokes Equations with State Constraints Siam Journal on Control and Optimization. ,vol. 41, pp. 583- 606 ,(2002) , 10.1137/S0363012901385769
Sang-Uk Ryu, Atsushi Yagi, Optimal control for an adsorbate-induced phase transition model Applied Mathematics and Computation. ,vol. 171, pp. 420- 432 ,(2005) , 10.1016/J.AMC.2005.01.044
J. Swift, P. C. Hohenberg, Hydrodynamic fluctuations at the convective instability Physical Review A. ,vol. 15, pp. 319- 328 ,(1977) , 10.1103/PHYSREVA.15.319
J. Lega, J. V. Moloney, A. C. Newell, Swift-Hohenberg Equation for Lasers Physical Review Letters. ,vol. 73, pp. 2978- 2981 ,(1994) , 10.1103/PHYSREVLETT.73.2978
Mustafa Polat, Global attractor for a modified Swift-Hohenberg equation Computers & Mathematics With Applications. ,vol. 57, pp. 62- 66 ,(2009) , 10.1016/J.CAMWA.2008.09.028