References
- J.W. Cholewa and T. Dlotko. Global attractor for the Cahn-Hilliard system. Bull. Austral. Math. Soc., 49(2):277–292, 1994. https://doi.org/10.1017/S0004972700016348.
- E.J. Crampin and P.K. Maini. Reaction-diffusion models for biological pattern formation. Mathods Appl. Anal., 8(3):415–428, 2001. https://doi.org/10.4310/maa.2001.v8.n3.a3.
- A. Doelman, T.J. Kaper and Paul A. Zegeling. Pattern formation in the one-dimensional Gray-Scott model. Nonlinearity, 10(2):523–563, 1997. https://doi.org/10.1088/0951-7715/10/2/013.
- A. Eden and V.K. Kalantarov. 3d convective Cahn-Hilliard equation. Commun. Pure Appl. Anal., 6(4):1075–1086, 2007. https://doi.org/10.3934/cpaa.2007.6.1075.
- D. Henry. Geometric theory of semilinear parabolic equations. Springer-Verlag, Berlin-New York, 1981. https://doi.org/10.1007/BFb0089647.
- D. Li and C. Zhong. Global attractor for the Cahn-Hilliard system with fast growing nonlinearity. J. Differential Equations, 149(2):191–210, 1998. https://doi.org/10.1006/jdeq.1998.3429.
- C. Liu and A. Liu. The existence of global attractor for a sixth order parabolic equation. Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys., 76(1):115–128, 2014. doi: 10.1007/s00339-002-1466-9
- T. Ma and S. Wang. Stability and bifurcation of nonlinear evolution equations. Science Press, Beijing, (In Chinese), 2006.
- M.A. Morales, J.F. Rojas, J. Oliveros and A.A. Hernández S. A new mechanochemical model: Coupled Ginzburg-Landau and Swift-Hohenberg equations in biological patterns of marine animals. Journal of Theoretical Biology, 368:37–54, 2015. https://doi.org/10.1016/j.jtbi.2014.12.005.
- M.A. Morales, J.F. Rojas, I. Torres and E. Rubio. Modeling ternary mixtures by mean-field theory of polyelectrolytes: Coupled Ginzburg-Landau and Swift-Hohenberg equations. Physica A, 391(3):779–791, 2012. https://doi.org/10.1016/j.physa.2011.08.054.
- G.R. Sell and Y. You. Dynamics of Evolutionary Equations. Springer-Verlag, New york, 2002. https://doi.org/10.1007/978-1-4757-5037-9.
- L. Song, Y. He and Y. Zhang. The existence of global attractors for semilinear parabolic equation in Hk spaces. Nonlinear Analysis, 68(11):3541–3549, 2008. https://doi.org/10.1016/j.na.2007.03.045.
- L. Song, Y. Zhang and T. Ma. Global attractor of the Cahn-Hilliard equation in Hk spaces. J. Math. Anal. Appl., 355(1):53–62, 2009. https://doi.org/10.1016/j.jmaa.2009.01.035.
- L. Song, Y. Zhang and T. Ma. Global attractor of a modified Swift-Hohenberg equation in Hk spaces. Nonlinear Anal., 72(1):183–191, 2010. https://doi.org/10.1016/j.na.2009.06.103.
- R. Temam. Infinite-dimensional Dynamical Systems in Mechanics and Physics. Springer-Verlag, 1997. https://doi.org/10.1007/978-1-4612-0645-3.
- H. Wu and S.M. Zheng. Global attractor for the 1-d thin film equation. Asymptot. Anal., 51(2):101–111, 2007.
- Y. You. Asymptotical dynamics of Selkov equations. Disc. Contin. Dyn. Systems, Series S, 2(1):193–219, 2009. doi: 10.3934/dcdss.2009.2.193
- Y. You. Dynamics of three-component reversible Gray-Scott model. Disc. Contin. Dyn. Systems, Series B, 14(4):1671–1688, 2010. doi: 10.3934/dcdsb.2010.14.1671
- Y. You. Asymptotic dynamics of reversible cubic autocatalytic reaction-diffusion systems. Commun. Pure Appl. Anal., 10(5):1415–1445, 2011. https://doi.org/10.3934/cpaa.2011.10.1415.