Asymptotic behaviour of solutions to the Korteweg-deVries-Burgers system

M. E. Schonbek; S. V. Rajopadhye

Annales de l'I.H.P. Analyse non linéaire (1995)

  • Volume: 12, Issue: 4, page 425-457
  • ISSN: 0294-1449

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Schonbek, M. E., and Rajopadhye, S. V.. "Asymptotic behaviour of solutions to the Korteweg-deVries-Burgers system." Annales de l'I.H.P. Analyse non linéaire 12.4 (1995): 425-457. <http://eudml.org/doc/78365>.

@article{Schonbek1995,
author = {Schonbek, M. E., Rajopadhye, S. V.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Korteweg-de Vries-Burgers system; decay rates; Fourier splitting method},
language = {eng},
number = {4},
pages = {425-457},
publisher = {Gauthier-Villars},
title = {Asymptotic behaviour of solutions to the Korteweg-deVries-Burgers system},
url = {http://eudml.org/doc/78365},
volume = {12},
year = {1995},
}

TY - JOUR
AU - Schonbek, M. E.
AU - Rajopadhye, S. V.
TI - Asymptotic behaviour of solutions to the Korteweg-deVries-Burgers system
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1995
PB - Gauthier-Villars
VL - 12
IS - 4
SP - 425
EP - 457
LA - eng
KW - Korteweg-de Vries-Burgers system; decay rates; Fourier splitting method
UR - http://eudml.org/doc/78365
ER -

References

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  1. [1] C.J. Amick, J.L. Bona and M.E. Schonbek, Decay of solutions of some nonlinear wave-equations, J. Differential Equations, Vol. 81, 1989, pp. 1-49. Zbl0689.35081MR1012198
  2. [2] M.E. Schonbek, Decay of parabolic conservation laws, Comm. in Partial Differential Equations, Vol. 7 (1), 1980, pp. 449-473. Zbl0476.35012MR571048
  3. [3] M.E. Schonbek, Large time behaviour of the solution to the Navier-Stokes equations, Comm. in Partial Differential Equations, Vol. 11 (7), 1986, pp. 733-763. Zbl0607.35071MR837929
  4. [4] M.E. Schonbek, Lower bounds on the rates of decay of the solutions to the Navier-Stokes equations, J. of the American Math. Soc., Vol. 4, # 3, July 1991. Zbl0739.35070MR1103459
  5. [5] M.E. Schonbek, T. Schonbek and E. Süli, Large time behaviour of solutions to the Magneto-Hydrodynamics equation, Preprint. Zbl0846.35018
  6. [6] M. Wiegner, Decay results for weak solutions of the Navier-Stokes equation on Rn, J. London, Math. Soc. Vol. 35 (2), 1987, pp. 303-313. Zbl0652.35095MR881519
  7. [7] Z. Yulin and Guo Boling, The periodic boundary-value problems and the initial value problems of the generalised Korteweg-deVries equation, Acta Mathematica Sinica, Vol. 27, 1984, pp. 154-176. Zbl0543.35093
  8. [8] Zhang Linghai, Decay of solutions of higher order multi-dimensional non-linear KdV-Burgers system, To appear in the Proc. of the Royal Soc. of Edinburgh. Zbl0814.35121

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