Waves of excitations in heterogeneous annular region, asymmetric arrangement

András Volford; Peter Simon; Henrik Farkas

Banach Center Publications (1999)

  • Volume: 50, Issue: 1, page 305-320
  • ISSN: 0137-6934

Abstract

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This paper deals with the propagation of waves around a circular obstacle. The medium is heterogeneous: the velocity is smaller in the inner region and greater in the outer region. The interface separating the two regions is also circular, and the obstacle is located eccentrically inside it. The different front portraits are classified.

How to cite

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Volford, András, Simon, Peter, and Farkas, Henrik. "Waves of excitations in heterogeneous annular region, asymmetric arrangement." Banach Center Publications 50.1 (1999): 305-320. <http://eudml.org/doc/209016>.

@article{Volford1999,
abstract = {This paper deals with the propagation of waves around a circular obstacle. The medium is heterogeneous: the velocity is smaller in the inner region and greater in the outer region. The interface separating the two regions is also circular, and the obstacle is located eccentrically inside it. The different front portraits are classified.},
author = {Volford, András, Simon, Peter, Farkas, Henrik},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {305-320},
title = {Waves of excitations in heterogeneous annular region, asymmetric arrangement},
url = {http://eudml.org/doc/209016},
volume = {50},
year = {1999},
}

TY - JOUR
AU - Volford, András
AU - Simon, Peter
AU - Farkas, Henrik
TI - Waves of excitations in heterogeneous annular region, asymmetric arrangement
JO - Banach Center Publications
PY - 1999
VL - 50
IS - 1
SP - 305
EP - 320
AB - This paper deals with the propagation of waves around a circular obstacle. The medium is heterogeneous: the velocity is smaller in the inner region and greater in the outer region. The interface separating the two regions is also circular, and the obstacle is located eccentrically inside it. The different front portraits are classified.
LA - eng
UR - http://eudml.org/doc/209016
ER -

References

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  8. [8] A. Lázár, H. D. Försterling, H. Farkas, P. L. Simon, A. Volford, Z. Noszticzius, Waves of excitations on nonuniform membrane rings, caustics, and reverse involutes, Chaos 7 (1997), 731-737. 
  9. [9] A. Lázár, Z. Noszticzius, H. Farkas, H. D. Försterling, Involutes: the geometry of chemical waves rotating in annular membranes, Chaos 5 (1995), 443-447. 
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  11. [11] Z. Noszticzius, W. Horsthemke, W. D. McCormick, H. L. Swinney, W. Y. Tam, Sustained chemical waves in an annular gel reactor: a chemical pinwheel, Nature 329 (1987), 619-620. 
  12. [12] J. Sainhas, R. Dilão, Wave optics in reaction-diffusion systems, Phys. Rev. Lett. 80 (1998), 5216-5219. Zbl1040.65085
  13. [13] S. K. Scott, Oscillations, Waves and Chaos in Chemical Kinetics, Oxford University Press, Oxford, 1994. 
  14. [14] S. Sieniutycz, H. Farkas, Chemical waves in confined regions by Hamilton-Jacobi-Bellman theory, Chemical Engineering Science 52 (1997), 2927-2945. 
  15. [15] P. L. Simon, H. Farkas, Geometric theory of trigger waves. A dynamical system approach, J. Math. Chem. 19 (1996), 301-315. Zbl0888.92041
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