@article{AIHPC_2000__17_4_523_0, author = {Schwetlick, Hartmut R.}, title = {Travelling fronts for multidimensional nonlinear transport equations}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {523--550}, publisher = {Gauthier-Villars}, volume = {17}, number = {4}, year = {2000}, mrnumber = {1782743}, zbl = {0965.45012}, language = {en}, url = {http://www.numdam.org/item/AIHPC_2000__17_4_523_0/} }
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 SP - 523 EP - 550 VL - 17 IS - 4 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPC_2000__17_4_523_0/ LA - en ID - AIHPC_2000__17_4_523_0 ER -
Schwetlick, Hartmut R. Travelling fronts for multidimensional nonlinear transport equations. Annales de l'I.H.P. Analyse non linéaire, Tome 17 (2000) no. 4, pp. 523-550. http://www.numdam.org/item/AIHPC_2000__17_4_523_0/
[1] The asymptotic speed of propagation of a simple epidemic, in: Fitzgibbon W.E., Walker H.F. (Eds.), Nonlinear Diffusion, Res. Notes Math., Vol. 14, Pitman, 1977, pp. 1-23. | MR | Zbl
,[2] Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation, in: Goldstein J. (Ed.), Partial Differential Equations and Related Topics, Lect. Notes Math., Vol. 446, Springer, 1975, pp. 5- 49. | MR | Zbl
, ,[3] Multidimensional nonlinear diffusion arising in population genetics, Adv. Math. 30 (1978) 33-76. | MR | Zbl
, ,[4] A semilinear elliptic equation in a strip arising in a two-dimensional flame propagation model, J. Reine Angew. Math. 396 (1989) 14-40. | MR | Zbl
, ,[5] Travelling fronts in cylinders, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 9 (5) (1992) 497-572. | Numdam | MR | Zbl
, ,[6] Run for your life. A note on the asymptotic speed of propagation of an epidemic, J. Differential Equations 33 (1979) 58-73. | MR | Zbl
,[7] The advance of advantageous genes, Ann. Eugenics 7 (1937) 355-369. | JFM
,[8] Regularity of the moments of the solution of a transport equation, J. Functional Analysis 79 (1) (1988) 110-125. | MR | Zbl
, , , ,[9] Travelling fronts for correlated random walks, Can. Appl. Math. Q. 2 (1) (1994) 27-43. | MR | Zbl
,[10] Reaction transport systems in biological modelling, in: Mathematics Inspired by Biology, Lect. Notes Math., Vol. 1714, Springer, 1999. | MR | Zbl
,[11] 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. | Zbl
, , ,[12] Models of dispersal in biological systems, J. Math. Biol. 26 (3) (1988) 263-298. | MR | Zbl
, , ,[13] Travelling-front solutions for integro-differential equations. I, J. Reine Angew. Math. 316 (1980) 54-70. | MR | Zbl
,[14] 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. | MR | Zbl
,[15] 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. | MR | Zbl
,[16] Long-time behavior of a class of biological models, SIAM J. Math. Anal. 13 (3) (1982) 353-396. | MR | Zbl
,