Decay and asymptotic behavior of solutions of the Keller-Segel system of degenerate and nondegenerate type

Takayoshi Ogawa. "Decay and asymptotic behavior of solutions of the Keller-Segel system of degenerate and nondegenerate type." Banach Center Publications 74.1 (2006): 161-184. <http://eudml.org/doc/281983>.

@article{TakayoshiOgawa2006,
abstract = {We classify the global behavior of weak solutions of the Keller-Segel system of degenerate and nondegenerate type. For the stronger degeneracy, the weak solution exists globally in time and has a uniform time decay under some extra conditions. If the degeneracy is weaker, the solution exhibits a finite time blow up if the data is nonnegative. The situation is very similar to the semilinear case. Some additional discussion is also presented.},
author = {Takayoshi Ogawa},
journal = {Banach Center Publications},
keywords = {global solution; blow up; self-similarity; decay estimates},
language = {eng},
number = {1},
pages = {161-184},
title = {Decay and asymptotic behavior of solutions of the Keller-Segel system of degenerate and nondegenerate type},
url = {http://eudml.org/doc/281983},
volume = {74},
year = {2006},
}

TY - JOUR
AU - Takayoshi Ogawa
TI - Decay and asymptotic behavior of solutions of the Keller-Segel system of degenerate and nondegenerate type
JO - Banach Center Publications
PY - 2006
VL - 74
IS - 1
SP - 161
EP - 184
AB - We classify the global behavior of weak solutions of the Keller-Segel system of degenerate and nondegenerate type. For the stronger degeneracy, the weak solution exists globally in time and has a uniform time decay under some extra conditions. If the degeneracy is weaker, the solution exhibits a finite time blow up if the data is nonnegative. The situation is very similar to the semilinear case. Some additional discussion is also presented.
LA - eng
KW - global solution; blow up; self-similarity; decay estimates
UR - http://eudml.org/doc/281983
ER -