Geodesic
Asymptotics of parabolic equations with possible blow-up
Radosław Czaja1
1 Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland
Colloquium Mathematicum, Tome 99 (2004) no. 1, pp. 61-73 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm99-1-7
Keywords: describe long time behaviour solutions parabolic equations solutions may blow finite infinite time done providing maximal compact invariant set attracting initial which corresponding solution does blow abstract result applied frank kamenetskii equation n dimensional navier stokes system small external force

Radosław Czaja 1

1 Institute of Mathematics Silesian University Bankowa 14 40-007 Katowice, Poland 
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 possible blow-up},
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 possible blow-up
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 possible blow-up
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Radosław Czaja. Asymptotics of parabolic equations with
 possible blow-up. Colloquium Mathematicum, Tome 99 (2004) no. 1, pp. 61-73. doi: 10.4064/cm99-1-7

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