Asymptotics of parabolic equations with possible blow-up

• Autorzy: Radosław Czaja
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35K90: Abstract parabolic equations
• 35B40: Asymptotic behavior of solutions
• 35K55: Nonlinear parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 99
• Numer: 1
• Strony: 61-73

Daty

wydano

2004

Twórcy

autor

Radosław Czaja

• Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/cm99-1-7