과제정보
연구 과제 주관 기관 : Jeju National University
참고문헌
- H. Brezis, Analyse Fronctionnelle, Theorie et Applications, Masson, Paris, 1983.
- E. Casas, L. A. Fernandez, and J. Yong, Optimal control of quasilinear parabolic equations, Proc. Roy. Soc. Edinburgh Sect. 125:545-565 (1995). https://doi.org/10.1017/S0308210500032674
- R. Dautray and J. L. Lions, Mathematical analysis and numerical methods for science and technology, 5, Springer-Verlag, Berlin, 1992.
- M. R. Garvie and C. Trenchea, Optimal control of a nutrient-phytoplankton-zooplankton-fish system, SIAM J. Control Optim. 46(3):775791 (2007).
- K. H. Hoffman and L. Jiang, Optimal control of a phase field model for solidification, Numer. Funct. Anal. and Optimiz. 13(1&2):11-27 (1992). https://doi.org/10.1080/01630569208816458
- J. P. Keener and J. J. Tyson, Spiral waves in the Belousov-Zhabotinskii reaction, Physica D 21:307-324 (1986). https://doi.org/10.1016/0167-2789(86)90007-2
- J. L. Lions, Quelques Methodes de Resolution des Problemes aux Limites Non Lineaires, Dunford/Gauthier-Villars, Paris, 1969.
- G. Nicolis and I. Prigogine, Self-Organization in Nonequilibrium system From Dissipa-tive Structure to Order through Fluctuations, John Wiley and Sons, New York, 1977.
- S.-U. Ryu and A. Yagi, Optimal control of Keller-Segel equations, J. Math. Anal. Appl. 256:45-66 (2001). https://doi.org/10.1006/jmaa.2000.7254
- V. K. Vanag and I. R. Epstein, Design and control of patterns in reaction-diffusion systems, CHAOS 18: 026107 (2008). https://doi.org/10.1063/1.2900555
- A. Yagi, K.Osaki and T. Sakurai, Exponential attractors for Belousov-Zhabotinskii reaction model, Discrete and continuous Dynamical Systems Suppl:846-856 (2009).
- A. Yagi, Abstract parabolic evolution equations and their applications, Springer-Verlag, Berlin (2010).
- V. S. Zykov, G. Bordiougov, H. Brandtstadter, I. Gerdes and H. Engel, Golbal dontrol of spiral wave dynamics in an excitable domain of circular and elliptical shape, Phys. Rev. Lett. 92: 018304 (2004). https://doi.org/10.1103/PhysRevLett.92.018304
피인용 문헌
- OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL GOVERNED BY BELOUSOV-ZHABOTINSKII REACTION MODEL vol.30, pp.3, 2015, https://doi.org/10.4134/CKMS.2015.30.3.327
- OPTIMAL CONTROL FOR SOME REACTION DIFFUSION MODEL vol.32, pp.3, 2016, https://doi.org/10.7858/eamj.2016.029