BLOW-UP OF THE NONEQUIVARIANT ()-DIMENSIONAL WAVE MAP

DOI10.1017/S1446181113000400zbMath1296.35093arXiv1205.2849MaRDI QIDQ3191190

Ralf Peter, Jörg Frauendiener

Publication date: 24 September 2014

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2849

zbMATH Keywords

blow-upequivariancewave mapsymplectic integrator

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (2)

MultiSymplectic Discretization of Wave Map Equations ⋮ Global existence of smooth solutions for wave maps in de Sitter spacetime

Cites Work

• Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems
• On collapse of wave maps
• Regularity of wave-maps in dimension \(2+1\)
• RATTLE: A velocity version of the SHAKE algorithm for molecular dynamics calculations
• Formation of singularities for equivariant (2+1)-dimensional wave maps into the 2-sphere
• Semi-Implicit Approximation of Wave Maps into Smooth or Convex Surfaces
• Free versus constrained evolution of the 2+1 equivariant wave map
• Finite Element Approximations of Wave Maps into Spheres
• Equivariant wave maps in two space dimensions
• Singularity formation in 2+1 wave maps

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