Author:
Zhu Zixian,Guo Boling,Fang Shaomei
Abstract
AbstractWe employ the Galerkin method to prove the global existence of weak solutions to a phase-field model which is suitable to describe a sort of interface motion driven by configurational forces. The higher-order derivative of unknown S exists in the sense of local weak derivatives since it may be not summable over the original open domain. The existence proof is valid in the one-dimensional case.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Mechanical Engineering,Mechanics of Materials
Reference18 articles.
1. HERRING, C. Surface tension as a motivation for sintering. The Physics of Powder Metallurgy, McGrawHill Book Company, New York, 143–179 (1951)
2. CAHN, J. W. and HILLIARD, J. E. Free energy of a nonuniform system, I, interfacial free energy. The Journal of Chemical Physics, 28(2), 258–267 (1958)
3. ALBER, H. D. and ZHU, P. C. Solutions to a model with nonuniformly parabolic terms for phase evolution driven by configurational forces. SIAM Journal on Applied Mathematics, 66(2), 680–699 (2005)
4. ALBER, H. D. and ZHU, P. C. Evolution of phase boundaries by configurational forces. Archive for Rational Mechanics and Analysis, 185, 235–286 (2007)
5. ALBER, H. D. and ZHU, P. C. Solutions to a model for interface motion by interface diffusion. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 138(5), 923–955 (2008)
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献