Radial symmetric solutions of the Cahn-Hilliard equation with degenerate mobility | Zendy

Jingxue Yin | Zendy; Changchun Liu | Zendy

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Radial symmetric solutions of the Cahn-Hilliard equation with degenerate mobility

Author(s) -

Jingxue Yin,

Changchun Liu

Publication year - 2001

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2001.1.2

Subject(s) - degenerate energy levels , cahn–hilliard equation , mathematics , mathematical analysis , physics , partial differential equation , quantum mechanics

In this paper we study the radial symmetric solutions of the two-dimensional Cahn-Hilliard equation with degenerate mobility. We adopt the method of parabolic regularization. After establishing some necessary uniform estimates on the approxi- mate solutions, we prove the existence and the nonnegativity of weak solutions. Keywords. Cahn-Hilliard equation, radial solution, degenerate mobility, nonnega- tivity. AMS Classication: 5G25, 35Q99, 35K9, 82B26

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