Some nonclassical trends in parabolic and parabolic-like evolutions
P Fife - Trends in nonlinear analysis, 2003 - Springer
An overview will be given of some nonlinear parabolic-like evolution problems which are off
the classical beaten track, but have increased in importance during the past decade. The …
the classical beaten track, but have increased in importance during the past decade. The …
The phase field method for geometric moving interfaces and their numerical approximations
This chapter surveys recent numerical advances in the phase field method for geometric
surface evolution and related geometric nonlinear partial differential equations (PDEs) …
surface evolution and related geometric nonlinear partial differential equations (PDEs) …
[图书][B] Surface evolution equations
Y Giga - 2006 - Springer
There are several interesting examples of equations governing motion of hypersurfaces
bounding two phases of materials in various sciences. Such a hypersurface is called an …
bounding two phases of materials in various sciences. Such a hypersurface is called an …
The cahn–hilliard equation
A Novick-Cohen - Handbook of differential equations: evolutionary …, 2008 - Elsevier
Publisher Summary This chapter focuses on the Cahn–Hilliard equation. In the context of the
Cahn–Hilliard equation, the two components could refer, for example, to a system with two …
Cahn–Hilliard equation, the two components could refer, for example, to a system with two …
Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory
JE Hutchinson, Y Tonegawa - Calculus of Variations and Partial …, 2000 - Springer
We study the general asymptotic behavior of critical points, including those of non-minimal
energy type, of the functional for the van der Waals-Cahn-Hilliard theory of phase transitions …
energy type, of the functional for the van der Waals-Cahn-Hilliard theory of phase transitions …
[PDF][PDF] Models for phase separation and their mathematics
PC Fife - 2000 - digital.library.txstate.edu
Models for phase separation and their mathematics Page 1 Electronic Journal of Differential
Equations, Vol. 2000(2000), No. 48, pp. 1–26. ISSN: 1072-6691. URL: http://ejde.math.swt.edu …
Equations, Vol. 2000(2000), No. 48, pp. 1–26. ISSN: 1072-6691. URL: http://ejde.math.swt.edu …
An convergence of a second-order convex-splitting, finite difference scheme for the three-dimensional Cahn–Hilliard equation
In this paper we present an unconditionally solvable and energy stable second order
numerical scheme for the three-dimensional (3D) Cahn–Hilliard (CH) equation. The scheme …
numerical scheme for the three-dimensional (3D) Cahn–Hilliard (CH) equation. The scheme …
Error analysis of a mixed finite element method for the Cahn-Hilliard equation
We propose and analyze a semi-discrete and a fully discrete mixed finite element method for
the Cahn-Hilliard equation ut+ Δ (ɛ Δ u− ɛ− 1 f (u))= 0, where ɛ> 0 is a small parameter …
the Cahn-Hilliard equation ut+ Δ (ɛ Δ u− ɛ− 1 f (u))= 0, where ɛ> 0 is a small parameter …
A multiphase Cahn–Hilliard–Darcy model for tumour growth with necrosis
We derive a Cahn–Hilliard–Darcy model to describe multiphase tumour growth taking
interactions with multiple chemical species into account as well as the simultaneous …
interactions with multiple chemical species into account as well as the simultaneous …
An energetic variational approach for the Cahn–Hilliard equation with dynamic boundary condition: model derivation and mathematical analysis
Abstract The Cahn–Hilliard equation is a fundamental model that describes phase
separation processes of binary mixtures. In recent years, several types of dynamic boundary …
separation processes of binary mixtures. In recent years, several types of dynamic boundary …