Critical phenomena in nonlinear sigma models

DOI10.1063/1.533432zbMath0980.35112arXivmath-ph/9911020OpenAlexW3101011872MaRDI QIDQ2738139

Steven L. Liebling, Eric W. Hirschmann, James A. Isenberg

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9911020

zbMATH Keywords

selfsimilar solutionwave maps

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Model quantum field theories (81T10) Second-order nonlinear hyperbolic equations (35L70) PDEs in connection with quantum mechanics (35Q40)

Related Items (6)

Singularity formation in 2+1 wave maps ⋮ On stable self-similar blow up for equivariant wave maps: the linearized problem ⋮ Numerical approaches to spacetime singularities ⋮ The Einstein-Vlasov system/kinetic theory ⋮ Critical phenomena in gravitational collapse ⋮ Critical phenomena in gravitational collapse

Cites Work

• The global Cauchy problem for the nonlinear Klein-Gordon equation
• On the cauchy problem for harmonic maps defined on two-dimensional Minkowski space
• Weak solutions and development of singularities of the SU(2) σ‐model
• Global existence of harmonic maps in minkowski space
• Critical phenomena in gravitational collapse

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