Singularities of relativistic membranes

J. Eggers; J. Hoppe; M. Hynek; N. Suramlishvili

Geometric Flows (2015)

  • Volume: 1, Issue: 1
  • ISSN: 2353-3382

Abstract

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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.

How to cite

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J. Eggers, et al. "Singularities of relativistic membranes." Geometric Flows 1.1 (2015): null. <http://eudml.org/doc/275842>.

@article{J2015,
abstract = {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.},
author = {J. Eggers, J. Hoppe, M. Hynek, N. Suramlishvili},
journal = {Geometric Flows},
language = {eng},
number = {1},
pages = {null},
title = {Singularities of relativistic membranes},
url = {http://eudml.org/doc/275842},
volume = {1},
year = {2015},
}

TY - JOUR
AU - J. Eggers
AU - J. Hoppe
AU - M. Hynek
AU - N. Suramlishvili
TI - Singularities of relativistic membranes
JO - Geometric Flows
PY - 2015
VL - 1
IS - 1
SP - null
AB - 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.
LA - eng
UR - http://eudml.org/doc/275842
ER -

References

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  1. [1] V. I. Arnol’d, V. A. Vasil’ev, V. V. Goryunov, and O. V. Lyashko, in Dynamical Syatems VIII (Springer, Heidelberg, 1993). 
  2. [2] G. Bellettini, J. Hoppe, M. Novaga, G. Orlandi, Complex Anal. Operator Theory 4, 3 (2010). 
  3. [3] J. Eggers and M.A. Fontelos, The role of self-similarity in singularities of partial differential equations, Nonlinearity 22, R1 (2009). [WoS][Crossref] Zbl1152.35300
  4. [4] J. Eggers and J. Hoppe, Phys. Lett. B 680, 274 (2009). 
  5. [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. [6] J. Hoppe, J. Phys. A: Math. Theor. 46, 023001 (2013). [Crossref] 
  7. [7] J. Nye, Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations (Institute of Physics Publishing, Bristol, 1999). Zbl0984.78002
  8. [8] L. Nguyen and G. Tian, Class. Quantum Grav. 30, 16 (2013). 
  9. [9] Y. Pomeau, M. Le Berre, P. Guyenne, and S. Grilli, Nonlinearity 21, T61 (2008). [Crossref] 
  10. [10] N. Turok, Nucl. Phys B 242, 520 (1984). 

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