刘凤楠
讲师 Supervisor of Master's Candidates
Gender:Female
Alma Mater:吉林大学
Degree:Doctoral Degree
School/Department:基础教学部
Discipline:Computational Mathematics
Contact Information:15043084512
E-Mail:Liufengnan@dlut.edu.cn
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Indexed by:Journal Papers
Date of Publication:2020-03-01
Journal:BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
Included Journals:SCIE
Volume:43
Issue:2
Page Number:1857-1883
ISSN No.:0126-6705
Key Words:Sixth-order phase-field equation; Degenerate mobility; Weak solution; Existence; Galerkin approximation
Abstract:In this paper, the well posedness of a sixth-order phase-field equation with degenerate phase-dependent diffusion mobility in three-dimensional space is studied. We first define a notion of weak solutions and establish a regularized problem. Then, by considering the limits of the regularized problem, we obtain the existence of such solutions.