Cette Note définit des notions générales d'ondes et fronts pour des équations de réaction–diffusion dans des domaines quelconques et donne des résultats qualitatifs de monotonie et d'unicité pour des fronts d'invasion ou presque plans.
This Note defines generalized waves and fronts for reaction–diffusion equations in general domains. Some qualitative monotonicity and uniqueness results are given for invasion and almost-planar fronts.
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@article{CRMATH_2006__343_11-12_711_0, author = {Berestycki, Henri and Hamel, Fran\c{c}ois}, title = {Fronts and invasions in general domains}, journal = {Comptes Rendus. Math\'ematique}, pages = {711--716}, publisher = {Elsevier}, volume = {343}, number = {11-12}, year = {2006}, doi = {10.1016/j.crma.2006.09.036}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2006.09.036/} }
TY - JOUR AU - Berestycki, Henri AU - Hamel, François TI - Fronts and invasions in general domains JO - Comptes Rendus. Mathématique PY - 2006 SP - 711 EP - 716 VL - 343 IS - 11-12 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2006.09.036/ DO - 10.1016/j.crma.2006.09.036 LA - en ID - CRMATH_2006__343_11-12_711_0 ER -
%0 Journal Article %A Berestycki, Henri %A Hamel, François %T Fronts and invasions in general domains %J Comptes Rendus. Mathématique %D 2006 %P 711-716 %V 343 %N 11-12 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2006.09.036/ %R 10.1016/j.crma.2006.09.036 %G en %F CRMATH_2006__343_11-12_711_0
Berestycki, Henri; Hamel, François. Fronts and invasions in general domains. Comptes Rendus. Mathématique, Tome 343 (2006) no. 11-12, pp. 711-716. doi : 10.1016/j.crma.2006.09.036. http://www.numdam.org/articles/10.1016/j.crma.2006.09.036/
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