A refined description of evolving interfaces in certain nonlinear wave equations

DOI10.1007/s00030-018-0506-xzbMath1402.35178arXiv1708.06804OpenAlexW2963028707WikidataQ130104720 ScholiaQ130104720MaRDI QIDQ1635647

Y. Aharonov

Publication date: 31 May 2018

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.06804

zbMATH Keywords

time-like hypersurface

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Dynamics of phase boundaries in solids (74N20) Second-order semilinear hyperbolic equations (35L71)

Related Items (2)

On the obstacle problem for fractional semilinear wave equations ⋮ Interface dynamics in semilinear wave equations

Cites Work

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• Closure and convexity results for closed relativistic strings
• On De Giorgi's conjecture in dimension \(N\geq 9\)
• Kinks and the minimal surface equation in Minkowski space
• From constant mean curvature hypersurfaces to the gradient theory of phase transitions.
• Defects in semilinear wave equations and timelike minimal surfaces in Minkowski space
• Dynamics of kinks in two-dimensional hyperbolic models
• Time-like minimal submanifolds as singular limits of nonlinear wave equations
• Accelerating fronts in semilinear wave equations
• Topology of cosmic domains and strings
• A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time
• Hypersurfaces in Minkowski space with vanishing mean curvature
• Geometrical Evolution of Developed Interfaces
• On asymptotic stability in 3D of kinks for the 𝜙⁴ model

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