A note on a phase-field model for anisotropic systems

被引：3
|
作者：
Lussardi, Luca [1 ]
机构：
[1] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis N Tartaglia, I-25121 Brescia, Italy
来源：
ASYMPTOTIC ANALYSIS | 2015年 / 94卷 / 3-4期
关键词：
phase-field; anisotropy; Gamma-convergence; SEMICONTINUITY;
D O I：
10.3233/ASY-151312
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate, using the framework of Gamma-convergence, a phase-field model proposed in [Proc. R. Soc. A 465 ( 2009), 1337-1359] for strongly anisotropic systems; in particular, we prove a full Gamma-convergence result for an anisotropic Modica-Mortola-type energy.
引用
收藏
页码：241 / 254
页数：14
相关论文
共 50 条
  • [21] DDFT calibration and investigation of an anisotropic phase-field crystal model
    Choudhary, Muhammad Ajmal
    Li, Daming
    Emmerich, Heike
    Loewen, Hartmut
    JOURNAL OF PHYSICS-CONDENSED MATTER, 2011, 23 (26)
  • [22] PHASE-FIELD MODELS FOR ANISOTROPIC INTERFACES
    MCFADDEN, GB
    WHEELER, AA
    BRAUN, RJ
    CORIELL, SR
    SEKERKA, RF
    PHYSICAL REVIEW E, 1993, 48 (03) : 2016 - 2024
  • [23] On Higher-Order Anisotropic Conservative Caginalp Phase-Field Systems
    Alain Miranville
    Applied Mathematics & Optimization, 2018, 77 : 297 - 314
  • [24] On Higher-Order Anisotropic Conservative Caginalp Phase-Field Systems
    Miranville, Alain
    APPLIED MATHEMATICS AND OPTIMIZATION, 2018, 77 (02): : 297 - 314
  • [25] An anisotropic phase-field crystal model for heterogeneous nucleation of ellipsoidal colloids
    Prieler, R.
    Hubert, J.
    Li, D.
    Verleye, B.
    Haberkern, R.
    Emmerich, H.
    JOURNAL OF PHYSICS-CONDENSED MATTER, 2009, 21 (46)
  • [26] A phase-field model for elastically anisotropic polycrystalline binary solid solutions
    Heo, Tae Wook
    Bhattacharyya, Saswata
    Chen, Long-Qing
    PHILOSOPHICAL MAGAZINE, 2013, 93 (13) : 1468 - 1489
  • [27] Dynamical phase-field model of cavity electromagnonic systems
    Zhuang, Shihao
    Zhu, Yujie
    Zhong, Changchun
    Jiang, Liang
    Zhang, Xufeng
    Hu, Jia-Mian
    NPJ COMPUTATIONAL MATERIALS, 2024, 10 (01)
  • [28] Phase-Field Modeling Fracture in Anisotropic Materials
    Li, Haifeng
    Wang, Wei
    Cao, Yajun
    Liu, Shifan
    ADVANCES IN CIVIL ENGINEERING, 2021, 2021
  • [29] Phase-field theory of edges in an anisotropic crystal
    Wheeler, A. A.
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2006, 462 (2075): : 3363 - 3384
  • [30] ON THE RELATION BETWEEN THE STANDARD PHASE-FIELD MODEL AND A THERMODYNAMICALLY CONSISTENT PHASE-FIELD MODEL
    PENROSE, O
    FIFE, PC
    PHYSICA D, 1993, 69 (1-2): : 107 - 113
12345