Singularities of relativistic membranes

DOI10.1515/geofl-2015-0003zbMath1350.53028OpenAlexW2053585175WikidataQ63460906 ScholiaQ63460906MaRDI QIDQ326951

Mohammad Hasan, M. Dambrine

Publication date: 13 October 2016

Published in: Geometric Flows (Search for Journal in Brave)

Full work available at URL: https://research-information.bris.ac.uk/en/publications/1629d8d7-9309-4c80-a537-5c7f2753aa83

zbMATH Keywords

eikonal equationcausticszero mean curvature

Mathematics Subject Classification ID

Local submanifolds (53B25) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (7)

Explicit self-similar solutions for a class of zero mean curvature equation and minimal surface equation ⋮ Global stability dynamics of the timelike extremal hypersurfaces in Minkowski space ⋮ Embeddedness of timelike maximal surfaces in \((1 + 2)\)-Minkowski space ⋮ Spatial structure of shock formation ⋮ Regular and complex singularities of the generalized thin film equation in two dimensions ⋮ Dynamical behavior near explicit self-similar blow–up solutions for the Born–Infeld equation ⋮ Nonlinear stability of explicit self-similar solutions for the timelike extremal hypersurfaces in \(\mathbb{R}^{1+3}\)

Cites Work

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• Dynamical systems VIII. Singularity theory. II: Classification and applications. Transl. from the Russian by J. S. Joel
• On smoothness of timelike maximal cylinders in three-dimensional vacuum spacetimes
• Wave-breaking and generic singularities of nonlinear hyperbolic equations
• The role of self-similarity in singularities of partial differential equations

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