Blow-up versus global existence of solutions to aggregation equations

@article{GrzegorzKarch2011,
abstract = {A class of nonlinear viscous transport equations describing aggregation phenomena in biology is considered. General conditions on an interaction potential are obtained which lead either to the existence or to the nonexistence of global-in-time solutions.},
author = {Grzegorz Karch, Kanako Suzuki},
journal = {Applicationes Mathematicae},
keywords = {nonlocal parabolic equation; moment method; nonlocal and nonlinear transport term; convolution},
language = {eng},
number = {3},
pages = {243-258},
title = {Blow-up versus global existence of solutions to aggregation equations},
url = {http://eudml.org/doc/279888},
volume = {38},
year = {2011},
}

TY - JOUR
AU - Grzegorz Karch
AU - Kanako Suzuki
TI - Blow-up versus global existence of solutions to aggregation equations
JO - Applicationes Mathematicae
PY - 2011
VL - 38
IS - 3
SP - 243
EP - 258
AB - A class of nonlinear viscous transport equations describing aggregation phenomena in biology is considered. General conditions on an interaction potential are obtained which lead either to the existence or to the nonexistence of global-in-time solutions.
LA - eng
KW - nonlocal parabolic equation; moment method; nonlocal and nonlinear transport term; convolution
UR - http://eudml.org/doc/279888
ER -