Stationary solutions for the Cahn - Hilliard equation coupled with Neumann boundary conditions

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The structure of stationary states of the one-dimensional Cahn - Hilliard equation coupled with the Neumann boundary conditions has been studied. Here the free energy is given by a fourth order polynomial. The bifurcation diagram for existence and uniqueness of monotone solutions for this problem has been constructed. Namely, we find the length of the interval on which the solution monotonically increases or decreases and has one zero for some fixed values of physical parameters. Under the non-uniqueness we understand a possibility of existence of more than one monotone solutions for the same values of physical parameters.

The cahn - hilliard equation, neumann boundary conditions, steady states

Короткий адрес: https://sciup.org/147159372

IDR: 147159372   |   DOI: 10.14529/mmp160206

Список литературы Stationary solutions for the Cahn - Hilliard equation coupled with Neumann boundary conditions

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