From classical thermodynamics to phase-field method
Phase-field method is a density-based computational method at the mesoscale for modeling
and predicting the temporal microstructure and property evolution during materials …
and predicting the temporal microstructure and property evolution during materials …
Diffuse-interface methods in fluid mechanics
DM Anderson, GB McFadden… - Annual review of fluid …, 1998 - annualreviews.org
▪ Abstract We review the development of diffuse-interface models of hydrodynamics and
their application to a wide variety of interfacial phenomena. These models have been …
their application to a wide variety of interfacial phenomena. These models have been …
[图书][B] Moving interfaces and quasilinear parabolic evolution equations
J Prüss, G Simonett - 2016 - Springer
Moving interfaces–and in the stationary case, free boundaries–are ubiquitous in our
environment and daily life. They are at the basis of many physical, chemical, and also …
environment and daily life. They are at the basis of many physical, chemical, and also …
[图书][B] Phase-field methods in materials science and engineering
N Provatas, K Elder - 2011 - books.google.com
This comprehensive and self-contained, one-stop source discusses phase-field
methodology in a fundamental way, explaining advanced numerical techniques for solving …
methodology in a fundamental way, explaining advanced numerical techniques for solving …
[图书][B] An introduction to Γ-convergence
G Dal Maso - 2012 - books.google.com
Dal Maso, Gianni. Introduction to [gamma]-convergence/Gianni Dal Maso. p. cm.--(Progress
in nonlinear differential equations and their applications; v. 8) Includes bibliographical …
in nonlinear differential equations and their applications; v. 8) Includes bibliographical …
Modeling and numerical simulations of dendritic crystal growth
R Kobayashi - Physica D: Nonlinear Phenomena, 1993 - Elsevier
A simple phase field model for one component melt growth is presented, which includes
anisotropy in a certain form. The formation of various dendritic patterns can be shown by a …
anisotropy in a certain form. The formation of various dendritic patterns can be shown by a …
Phase-field model for isothermal phase transitions in binary alloys
AA Wheeler, WJ Boettinger, GB McFadden - Physical Review A, 1992 - APS
In this paper we present a phase-field model to describe isothermal phase transitions
between ideal binary-alloy liquid and solid phases. Governing equations are developed for …
between ideal binary-alloy liquid and solid phases. Governing equations are developed for …
[图书][B] Nonlinear partial differential equations with applications
T Roubíček - 2013 - books.google.com
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial
differential equations, inequalities, and systems. The exposition leads the reader through the …
differential equations, inequalities, and systems. The exposition leads the reader through the …
[图书][B] Image processing and analysis: variational, PDE, wavelet, and stochastic methods
No time in human history has ever witnessed such explosive influence and impact of image
processing on modern society, sciences, and technologies. From nanotechnologies …
processing on modern society, sciences, and technologies. From nanotechnologies …
[图书][B] The Cahn–Hilliard equation: recent advances and applications
A Miranville - 2019 - SIAM
This book discusses classical results, as well as recent developments, related to the Cahn–
Hilliard equation. It is based on the lectures that I gave at the CBMS-NSF Conference on the …
Hilliard equation. It is based on the lectures that I gave at the CBMS-NSF Conference on the …