Travelling fronts for multidimensional nonlinear transport equations

Hartmut R. Schwetlick

Annales de l'I.H.P. Analyse non linéaire (2000)

  • Volume: 17, Issue: 4, page 523-550
  • ISSN: 0294-1449

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Schwetlick, Hartmut R.. "Travelling fronts for multidimensional nonlinear transport equations." Annales de l'I.H.P. Analyse non linéaire 17.4 (2000): 523-550. <http://eudml.org/doc/78500>.

@article{Schwetlick2000,
author = {Schwetlick, Hartmut R.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {nonlinear transport equation; reaction-diffusion equation; strictly monotone travelling fronts},
language = {eng},
number = {4},
pages = {523-550},
publisher = {Gauthier-Villars},
title = {Travelling fronts for multidimensional nonlinear transport equations},
url = {http://eudml.org/doc/78500},
volume = {17},
year = {2000},
}

TY - JOUR
AU - Schwetlick, Hartmut R.
TI - Travelling fronts for multidimensional nonlinear transport equations
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2000
PB - Gauthier-Villars
VL - 17
IS - 4
SP - 523
EP - 550
LA - eng
KW - nonlinear transport equation; reaction-diffusion equation; strictly monotone travelling fronts
UR - http://eudml.org/doc/78500
ER -

References

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  11. [11] Kolmogorov A.N., Petrovsky I.G., Piscounov N.S., Étude de l'équation de la diffusion avec croissance de la quantité de matière et son application à un problème biologique, Bull. Univ. État Moscou, Ser. Int., Sect. A, Math. et Mecan.1 (6) (1937) 1-25; English Transl. in: Pelcé R. (Ed.), Dynamics of Curved Fronts, Academic Press, 1988, p. 105-130. Zbl0018.32106
  12. [12] Othmer H.G., Dunbar S.R., Alt W., Models of dispersal in biological systems, J. Math. Biol.26 (3) (1988) 263-298. Zbl0713.92018MR949094
  13. [13] Schumacher K., Travelling-front solutions for integro-differential equations. I, J. Reine Angew. Math.316 (1980) 54-70. Zbl0419.45004MR581323
  14. [14] Thieme H.R., Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations, J. Reine Angew. Math.306 (1979) 94-121. Zbl0395.45010MR524650
  15. [15] Weinberger H.F., Asymptotic behavior of a model in population genetics, in: Chadam J.M. (Ed.), Nonlinear Partial Differential Equations and Applications, Lect. Notes Math., Vol. 648, Springer, 1978, pp. 47-96. Zbl0383.35034MR490066
  16. [16] Weinberger H.F., Long-time behavior of a class of biological models, SIAM J. Math. Anal.13 (3) (1982) 353-396. Zbl0529.92010MR653463

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