Existence of solutions to an anisotropic phase-field model

DOI10.1002/mma.405zbMath1032.35053OpenAlexW2095946126MaRDI QIDQ4432786

Erik Burman, Jacques Rappaz

Publication date: 29 October 2003

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.405

zbMATH Keywords

existence of weak solutionsmonotone operatorsphase-field equationsstrongly nonlinear parabolic systems

Mathematics Subject Classification ID

Related Items (7)

PARALLEL NUMERICAL METHODS FOR THE SOLUTION OF NONLINEAR PARABOLIC SYSTEMS ⋮ Anisotropy in wavelet-based phase field models ⋮ Optimal control of a quasilinear parabolic equation and its time discretization ⋮ A posteriori error estimates and adaptive finite elements for a nonlinear parabolic problem related to solidification ⋮ A stochastic phase-field model determined from molecular dynamics ⋮ Adaptive finite elements with high aspect ratio for dendritic growth of a binary alloy including fluid flow induced by shrinkage ⋮ Convergence of the finite element method applied to an anisotropic phase-field model

Cites Work

• Unnamed Item
• Anisotropic, adaptive finite elements for the computation of a solutal dendrite
• Direct methods in the calculus of variations

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