Time-like minimal submanifolds as singular limits of nonlinear wave equations

DOI10.1016/j.physd.2009.12.004zbMath1190.35022arXiv0811.3741OpenAlexW2019424358MaRDI QIDQ2268964

Giandomenico Orlandi, Giovanni Bellettini, Matteo Novaga

Publication date: 15 March 2010

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3741

zbMATH Keywords

Minkowski spaceBorn-Infeld equationsharp interfacelimit double-well potential

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

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Cites Work

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• Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
• From constant mean curvature hypersurfaces to the gradient theory of phase transitions.
• Convergence of the parabolic Ginzburg-Landau equation to motion by mean curvature
• A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time
• Foundations of the new field theory

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