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2 results on '"Fengnan Liu"'

1. Weak Solutions for a Sixth-Order Phase-Field Equation with Degenerate Mobility

Author

Zhenbang Li, Ning Duan, and Fengnan Liu

Subjects
Sixth order, General Mathematics, 010102 general mathematics, Mathematical analysis, Degenerate energy levels, Space (mathematics), 01 natural sciences, 010101 applied mathematics, Phase (matter), 0101 mathematics, Diffusion (business), Field equation, Well posedness, Mathematics
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.

Published
2019
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