Nonlinear diffusion equations as asymptotic limits of Cahn‐Hilliard systems on unbounded domains via Cauchy's criterion

Fukao Takeshi; Kurima Shunsuke; Yokota Tomomi

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Nonlinear diffusion equations as asymptotic limits of Cahn‐Hilliard systems on unbounded domains via Cauchy's criterion

机译：非线性扩散方程作为CAHN-HILLIARD系统通过CAUCHY标准的无限域的渐近极限

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> This paper develops an abstract theory for subdifferential operators to give existence and uniqueness of solutions to the initial‐boundary problem P ? u ? t + ( ? Δ + 1 ) β ( u ) = g in

机译： >本文开发了一个摘要理论为初值运算员提供初始边界问题的存在和唯一性 P ？ U ？ T + （？ Δ + 1 ） β （ U ） = g

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来源
《Mathematical Methods in the Applied Sciences》 |2018年第7期|共12页
作者
Fukao Takeshi; Kurima Shunsuke; Yokota Tomomi;
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作者单位

Department of MathematicsKyoto University of Education1 Fujinomori Fukakusa Fushimi‐ku Kyoto 612‐8522 Japan;

Department of MathematicsTokyo University of Science1‐3 Kagurazaka Shinjuku‐ku Tokyo 162‐8601 Japan;

Department of MathematicsTokyo University of Science1‐3 Kagurazaka Shinjuku‐ku Tokyo 162‐8601 Japan;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Cahn‐Hilliard systems; fast diffusion equations; nonlinear diffusion equations; porous media equations; Stefan problems; subdifferential operators;

机译：CAHN-HILLIARD系统;快速扩散方程;非线性扩散方程;多孔介质方程;Stefan问题;子样本运营商;

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专利

1. Nonlinear diffusion equations as asymptotic limits of Cahn‐Hilliard systems on unbounded domains via Cauchy's criterion [J] . Fukao Takeshi, Kurima Shunsuke, Yokota Tomomi Mathematical Methods in the Applied Sciences . 2018,第7期

机译：非线性扩散方程作为CAHN-HILLIARD系统通过CAUCHY标准的无限域的渐近极限
2. Malliavin calculus for the stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion [J] . Antonopoulou Dimitra C., Farazakis Dimitris, Karali Georgia Journal of Differential Equations . 2018,第7期

机译：带有无限噪声扩散的时代CAHN-HILLIARD / ALLEN-CAHN方程的Malliavin微积分
3. Malliavin calculus for the stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion [J] . Antonopoulou Dimitra C., Farazakis Dimitris, Karali Georgia Journal of Differential Equations . 2018,第7期

机译：带有无限噪声扩散的时代CAHN-HILLIARD / ALLEN-CAHN方程的Malliavin微积分
4. Sharp Interface Limits of the Cahn-Hilliard Equation with Degenerate Mobility [C] . Alpha A. Lee, Andreas Munch, Endre Suli Vienna International Conferenceon Mathematical Modelling . 2016

机译：CAHN-HILLIARD方程的尖锐界面限制，退化移动性
5. Topics in nonlinear elliptic equations: (1) Bifurcation theory of nonlinear elliptic equations; (2) Spike layer solutions of the Cahn-Hilliard equation. [D] . Shi, Junping. 1998

机译：非线性椭圆方程的主题：（1）非线性椭圆方程的分岔理论；（2）Cahn-Hilliard方程的尖峰层解。
6. Transformation of Block Copolymer Nanoparticles fromEllipsoids with Striped Lamellae into Onionlike Spheres and DynamicalControl via Coupled Cahn–Hilliard Equations [O] . Edgar Avalos, *, Takashi Teramoto, 2018

机译：嵌段共聚物纳米粒子的转化带条纹薄片的椭球成洋葱状球体和动力学通过耦合的Cahn-Hilliard方程进行控制
7. Nonlinear diffusion equations as asymptotic limits of Cahn--Hilliard systems on unbounded domains via Cauchy's criterion [O] . Fukao, Takeshi, Kurima, Shunsuke, Yokota, Tomomi 2017

机译：非线性扩散方程作为Cahn - Hilliard的渐近极限通过Cauchy标准在无界域上的系统
8. Asymptotic solution of the non-isothermal Cahn-Hilliard system [R] . Omel'yanov, G. A. 1995

机译：非等温Cahn-Hilliard系统的渐近解

Nonlinear diffusion equations as asymptotic limits of Cahn‐Hilliard systems on unbounded domains via Cauchy's criterion

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