The quasistationary phase field equations with Neumann boundary conditions

Schatzle R.

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The quasistationary phase field equations with Neumann boundary conditions

机译：具有Neumann边界条件的准静态相场方程

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摘要

We prove that the quasistationary phase field equations partial derivative(t)(u + phi) - Delta u = f, - 2 epsilon Delta phi + 1/epsilon W'(phi) = u, where W(t) = (t(2) - 1)(2) is a double-well potential, admit a solution, when the space dimension n less than or equal to 3, and that the solutions converge for epsilon --> 0 to solutions of the Stefan problem with Gibbs-Thomson law. (C) 2000 Academic Press. [References: 25]

机译：我们证明了准静态相位场方程偏导数（t）（u + phi）-δu = f，-2 epsilonδphi + 1 / epsilon W'（phi）= u，其中W（t）=（t（ 2）-1）（2）是双阱势，当空间维数n小于或等于3且该解收敛于epsilon时，接纳一个解-> 0到Gibbs的Stefan问题的解-汤姆森定律。（C）2000学术出版社。 [参考：25]

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来源
《Journal of Differential Equations》 |2000年第2期|共31页
作者
Schatzle R.;
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正文语种 eng
中图分类数学;
关键词
Parabolic-elliptic equations; Stefan problem; Gradient theory; Transitions; Model;

机译：抛物型椭圆方程;Stefan问题;梯度理论;过渡;模型;

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1. The quasistationary phase field equations with Neumann boundary conditions [J] . Schatzle R. Journal of Differential Equations . 2000,第2期

机译：具有Neumann边界条件的准静态相场方程
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3. The phase-field transition system with non-homogeneous Cauchy-Stefan- Boltzmann and homogeneous Neumann boundary conditions and non-constant thermal conductivity [J] . Moro?anu C. Nonlinear Analysis: An International Multidisciplinary Journal . 2013,第Null期

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4. Phase-field simulations of non-isothermal binary alloys solidification with Neumann boundary conditions [C] . Liu Qiang, Yang Xiang-Jie, Liu Zhi-Ling 2011 Second International Conference on Mechanic Automation and Control Engineering . 2011

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6. New applications of the existence of solutions for equilibrium equations with Neumann type boundary condition [O] . Zhaoqi Ji, Tao Liu, Hong Tian, -1

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7. The Quasistationary Phase Field Equations with Neumann Boundary Conditions [O] . Schätzle Reiner 2000

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The quasistationary phase field equations with Neumann boundary conditions

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