搜索结果: 1-12 共查到“数学 Phase field”相关记录12条 . 查询时间(0.121 秒)
Phase-field model for reconstructed stepped surface
Phase-field model reconstructed stepped surface
2015/10/16
We formulate a phase-field, or diffuse-interface, model for the evolution of stepped surfaces under surface diffusion in the presence of distinct material parameters across nanoscale terraces. In the ...
Solvability and asymptotic analysis of a generalization of the Caginalp phase field system
phase field model well-posedness regularity asymptotic behaviour error estimates
2011/9/15
Abstract: We study a diffusion model of phase field type, which consists of a system of two partial differential equations involving as variables the thermal displacement, that is basically the time i...
Time relaxation of a phase-field model with entropy balance
phase-field model entropy balance Analysis of PDEs
2011/9/14
Abstract: We deal with a system of two coupled differential equations, describing the evolution of a first order phase transition. In particular, we have two non-linear parabolic equations: the first ...
A phase field model for liquid-vapour phase transitions
Liquid-Vapour Phase Transitions Critical point
2011/1/21
We propose a model describing the liquid-vapour phase transition according to a phase- eld approach. The model takes up the setting proposed in [1], where a phase eld ' is introduced whose equilibriu...
Study of three-dimensional crack fronts under plane stress using a phase field model
Materials Science (cond-mat.mtrl-sci) Other Condensed Matter (cond-mat.other) Pattern Formation and Solitons (nlin.PS)
2010/11/11
The shape of a crack front propagating through a thin sample is studied using a phase field model. The model is shown to have a well defined sharp interface limit. The crack front is found to be an el...
Gamma-convergence results for phase-field approximations of the 2D-Euler Elastica Functional
Relaxation Singular Perturbation Geometric Measure
2010/12/14
We establish some new results about the -limit, with respect to the L1-topology, of two di erent (but related) phase- eld approximations of the so-called Euler's Elastica Bending Energy for ...
Emergence of foams from the breakdown of the phase field crystal model
phase field crystal topological properties
2010/4/2
The phase field crystal (PFC) model captures the elastic and topological properties of crystals with a single scalar field at small undercooling. At large undercooling, new foam-like behavior emerges....
受内反馈控制的Phase-Field系统的稳定性
Phase-field系统 稳定性 反馈控制
2009/10/21
该文证明了受内反馈控制的phase-field系统的解在某些条件下是稳定的.
Asymptotic Analysis to a Phase-Field Model with a Nonsmooth Memory Kernel
Asymptotic Analysis Phase-Field Model Nonsmooth Memory Kernel
2009/1/20
A phase-field model based on the Gurtin-Pipkin heat flux law is considered. The resulting system has been investigated by Colli and Laurencot who proved existence and uniqueness results, when the time...
A phase-field model for the paraelectric-ferroelectric transition
Ferroelectricity Phase transition Evolution equations
2010/9/16
The purpose of the paper is to model the nonlinear relation characterizing the ferroelectric properties of polycrystals and to frame the paraelectric-ferroelectric transition as a classical transition...
In this paper, we study numerical approximations of a recently
proposed phase field model for the vesicle membrane deformation
governed by the variation of the elastic bending energy.
To overcome t...
A Simple Moving Mesh Method for One- and Two-Dimensional Phase-Field Equations
phase-field equations computation of free boundaries moving mesh method finite volume method
2012/7/31
A simple moving mesh method is proposed for solving phase-field equations. The numerical strategy is based on the approach proposed in Li et al. [J. Comput. Phys., 170 (2001),pp. 562?88] to separate t...