On the approximation of front propagation problems with nonlocal terms

DOI10.1051/M2AN:2001120zbMath0992.65097OpenAlexW2098622949MaRDI QIDQ2781493

Denis Pasquignon, Pierre Cardaliaguet

Publication date: 20 March 2002

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2001__35_3_437_0

zbMATH Keywords

thinningevolutionfront propagationcompact hypersurfacessurface curvature

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (3)

Short time uniqueness results for solutions of nonlocal and non-monotone geometric equations ⋮ Convergence of approximation schemes for nonlocal front propagation equations ⋮ Minimizing movements for dislocation dynamics with a mean curvature term

Cites Work

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• Motion of level sets by mean curvature. I
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Partial differential equations and mathematical morphology
• Axioms and fundamental equations of image processing
• A new approach to front propagation problems: theory and applications
• Convergent difference schemes for nonlinear parabolic equations and mean curvature motion
• User’s guide to viscosity solutions of second order partial differential equations
• Approximation of viscosity solution by morphological filters
• Front Propagation and Phase Field Theory
• A Simple Proof of Convergence for an Approximation Scheme for Computing Motions by Mean Curvature
• A Morphological Scheme for Mean Curvature Motion and Applications to Anisotropic Diffusion and Motion of Level Sets
• Asymptotic behavior of solutions of an allen-cahn equation with a nonlocal term
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
• On front propagation problems with nonlocal terms

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