We consider the following reaction-diffusion equation:
DOI :
https://doi.org/10.1051/m2an:2006025
Classification : 35B40, 35K45, 35K55, 35k65
Mots clés : degenerate parabolic system, chemotaxis, Keller-Segel model, drift term, decay property, asymptotic behavior, Fujita exponent, porous medium equation, Barenblatt solution
Classification : 35B40, 35K45, 35K55, 35k65
Mots clés : degenerate parabolic system, chemotaxis, Keller-Segel model, drift term, decay property, asymptotic behavior, Fujita exponent, porous medium equation, Barenblatt solution
@article{M2AN_2006__40_3_597_0, author = {Luckhaus, Stephan and Sugiyama, Yoshie}, title = {Large time behavior of solutions in super-critical cases to degenerate Keller-Segel systems}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, pages = {597--621}, publisher = {EDP-Sciences}, volume = {40}, number = {3}, year = {2006}, doi = {10.1051/m2an:2006025}, zbl = {1113.35028}, mrnumber = {2245322}, language = {en}, url = {archive.numdam.org/item/M2AN_2006__40_3_597_0/} }
Luckhaus, Stephan; Sugiyama, Yoshie. Large time behavior of solutions in super-critical cases to degenerate Keller-Segel systems. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 40 (2006) no. 3, pp. 597-621. doi : 10.1051/m2an:2006025. http://archive.numdam.org/item/M2AN_2006__40_3_597_0/