Singularities of relativistic membranes

• Autorzy: J. Eggers , J. Hoppe , M. Hynek , N. Suramlishvili
• Języki publikacji: EN

Abstrakty

EN

Pointing out a crucial relation with caustics of the eikonal equation we discuss the singularity formation of 2-dimensional surfaces that sweep out 3-manifolds of zero mean curvature in R3,1.

• Wydawca: De Gruyter Open
• Czasopismo: Geometric Flows
• Rocznik: 2015
• Tom: 1
• Numer: 1

Daty

otrzymano

2015-02-02

zaakceptowano

2015-02-23

online

2015-04-23

Twórcy

autor

J. Eggers

• School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United Kingdom

autor

J. Hoppe

• Department of Mathematics, Royal Institute of Technology, 100 44 Stockholm, Sweden
• KIAS and Sogang University, 121-742 Seoul, Korea

autor

M. Hynek

• Department of Mathematics, Royal Institute of Technology, 100 44 Stockholm, Sweden

autor

N. Suramlishvili

• School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, United Kingdom

Bibliografia

• [1] V. I. Arnol’d, V. A. Vasil’ev, V. V. Goryunov, and O. V. Lyashko, in Dynamical Syatems VIII (Springer, Heidelberg, 1993).
• [2] G. Bellettini, J. Hoppe, M. Novaga, G. Orlandi, Complex Anal. Operator Theory 4, 3 (2010).
• [3] J. Eggers and M.A. Fontelos, The role of self-similarity in singularities of partial differential equations, Nonlinearity 22, R1 (2009). [WoS][Crossref]
• [4] J. Eggers and J. Hoppe, Phys. Lett. B 680, 274 (2009).
• [5] J. Hoppe, in Nonlinear Waves, Gakuto International Series: Mathematical Sciences and Applications, Vol. 8 (Gakkotosho, Tokyo, 1996), URL http://arxiv:hep-th/9503069.
• [6] J. Hoppe, J. Phys. A: Math. Theor. 46, 023001 (2013). [Crossref]
• [7] J. Nye, Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations (Institute of Physics Publishing, Bristol, 1999).
• [8] L. Nguyen and G. Tian, Class. Quantum Grav. 30, 16 (2013).
• [9] Y. Pomeau, M. Le Berre, P. Guyenne, and S. Grilli, Nonlinearity 21, T61 (2008). [Crossref]
• [10] N. Turok, Nucl. Phys B 242, 520 (1984).

Identyfikatory

DOI

10.1515/geofl-2015-0003