Asymptotics of parabolic equations with possible blow-up

Radosław Czaja. "Asymptotics of parabolic equations with possible blow-up." Colloquium Mathematicae 99.1 (2004): 61-73. <http://eudml.org/doc/285101>.

@article{RadosławCzaja2004,
abstract = {We describe the long-time behaviour of solutions of parabolic equations in the case when some solutions may blow up in a finite or infinite time. This is done by providing a maximal compact invariant set attracting any initial data for which the corresponding solution does not blow up. The abstract result is applied to the Frank-Kamenetskii equation and the N-dimensional Navier-Stokes system with small external force.},
author = {Radosław Czaja},
journal = {Colloquium Mathematicae},
keywords = {attracting set; Navier-Stokes system; Frank-Kamenetskii equation},
language = {eng},
number = {1},
pages = {61-73},
title = {Asymptotics of parabolic equations with possible blow-up},
url = {http://eudml.org/doc/285101},
volume = {99},
year = {2004},
}

TY - JOUR
AU - Radosław Czaja
TI - Asymptotics of parabolic equations with possible blow-up
JO - Colloquium Mathematicae
PY - 2004
VL - 99
IS - 1
SP - 61
EP - 73
AB - We describe the long-time behaviour of solutions of parabolic equations in the case when some solutions may blow up in a finite or infinite time. This is done by providing a maximal compact invariant set attracting any initial data for which the corresponding solution does not blow up. The abstract result is applied to the Frank-Kamenetskii equation and the N-dimensional Navier-Stokes system with small external force.
LA - eng
KW - attracting set; Navier-Stokes system; Frank-Kamenetskii equation
UR - http://eudml.org/doc/285101
ER -