We consider an anisotropic phase-field model for the isothermal solidification of a binary alloy due to Warren-Boettinger (Acta. Metall. Mater. 1995; 43(2):689)., Existence of weak solutions is established under a certain convexity condition on the strongly non-linear second-order anisotropic operator and Lipschitz and boundedness assumptions for the non-linearities. A maximum principle holds that guarantees the existence of a solution under physical assumptions on the non-linearities. The qualitative properties of the solutions are illustrated by a numerical example. Copyright (C) 2003 John Wiley Sons, Ltd
In this paper the amplitude representation of the anisotropic phase-field crystal (APFC) model recen...
International audienceThis paper is devoted to the study of a new phase-field model with convection ...
An isothermal model describing the separation of the components of a binary metallic alloy is consid...
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In this paper the amplitude representation of the anisotropic phase-field crystal (APFC) model recen...
International audienceThis paper is devoted to the study of a new phase-field model with convection ...
An isothermal model describing the separation of the components of a binary metallic alloy is consid...
We consider an anisotropic phase-field model for the isothermal solidification of a binary alloy due...
The phase-field method provides a mathematical description for free-boundary problems associated to ...
Estudamos nesse trabalho um modelo de Campo de fase para a solidificação isotérmica de uma liga biná...
Our research on applied mathematics is in line with the research scope of the journal. The phase-fie...
We introduce unconditionally stable finite element approximations for a phase field model for solidi...
AbstractThe article analyzes a two-dimensional phase-field model for a non-stationary process of sol...
The article analyzes a two-dimensional phase-field model for a non-stationary process of solidificat...
International audienceIn this paper, we consider robust control problems which are governed by a two...
This paper is concerned with a phase field system of Penrose-Fife type for a non-conserved order par...
We compute solutions of solutal phase-field models for dendritic growth of an isothermal binary allo...
In this paper we present some theoretical results for a system of nonlinear partial differential equ...
AbstractIn this paper we present some theoretical results for a system of nonlinear partial differen...
In this paper the amplitude representation of the anisotropic phase-field crystal (APFC) model recen...
International audienceThis paper is devoted to the study of a new phase-field model with convection ...
An isothermal model describing the separation of the components of a binary metallic alloy is consid...