ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


уравнение Кана–Хилларда

Asymptotic research of local dynamics of the Cahn–Hilliard family equations

Topic. Dynamics of well-known Cahn–Hilliard nonlinear equation is researched. In a state of balance stability task, critical cases were highlighted and bifurcation phenomena were researched. Aim. To formulate finite-dimensional and special infinite-dimensional equations, which can be represented as normal forms. Method. You can use as standard local dynamics research methods, based on constructing of normal forms on central manifolds, and special infinite-dimensional normalization ones.