The solutions of the quasilinear Keller-Segel system with the volume filling effect do not blow up whenever the Lyapunov functional is bounded from below

Tomasz Cieślak. "The solutions of the quasilinear Keller-Segel system with the volume filling effect do not blow up whenever the Lyapunov functional is bounded from below." Banach Center Publications 74.1 (2006): 127-132. <http://eudml.org/doc/282360>.

@article{TomaszCieślak2006,
abstract = {In [2] we proved two kinds of mechanisms of preventing the blow up in a quasilinear non-uniformly parabolic Keller-Segel systems. One of them was a priori boundedness from below of the Lyapunov functional. In fact, we were able to present a condition under which the Lyapunov functional is bounded from below and a solution exists globally. In the present paper we prove that whenever the Lyapunov functional is bounded from below the solution exists globally.},
author = {Tomasz Cieślak},
journal = {Banach Center Publications},
keywords = {chemotaxis equations; global-in-time existence and uniqueness},
language = {eng},
number = {1},
pages = {127-132},
title = {The solutions of the quasilinear Keller-Segel system with the volume filling effect do not blow up whenever the Lyapunov functional is bounded from below},
url = {http://eudml.org/doc/282360},
volume = {74},
year = {2006},
}

TY - JOUR
AU - Tomasz Cieślak
TI - The solutions of the quasilinear Keller-Segel system with the volume filling effect do not blow up whenever the Lyapunov functional is bounded from below
JO - Banach Center Publications
PY - 2006
VL - 74
IS - 1
SP - 127
EP - 132
AB - In [2] we proved two kinds of mechanisms of preventing the blow up in a quasilinear non-uniformly parabolic Keller-Segel systems. One of them was a priori boundedness from below of the Lyapunov functional. In fact, we were able to present a condition under which the Lyapunov functional is bounded from below and a solution exists globally. In the present paper we prove that whenever the Lyapunov functional is bounded from below the solution exists globally.
LA - eng
KW - chemotaxis equations; global-in-time existence and uniqueness
UR - http://eudml.org/doc/282360
ER -