Existence and stability of front solutions of the amplitude equations for rotating magnetoconvection
SHI Lei1 , XIAO Qing-kun1 , LIU Bao-qing2
1. School of Sci., Nanjing Agricultural Univ. , Nanjing 210094, China 2. School of Math. Sci., Nanjing Univ. of Finance and Economics , Nanjing 210046, China
Abstract In this paper, the existence and stability of a steady state are investigated. The existence theory and consisitency conditions of the solution are gotten.Furthermore, the instability of the steady state are proved by using the variational characterization of eigenvalues.
SHI Lei , XIAO Qing-kun , LIU Bao-qing. Existence and stability of front solutions of the amplitude equations for rotating magnetoconvection. Applied Mathematics A Journal of Chinese Universities, 2017, 32(2): 142-148.
