Stability and instability of equilibria on singular domains

• Autorzy: Maria Gokieli , Nicolas Varchon
• Języki publikacji: EN

Abstrakty

EN

We show existence of nonconstant stable equilibria for the Neumann reaction-diffusion problem on domains with fractures inside. We also show that the stability properties of all hyperbolic equilibria remain unchanged under domain perturbation in a quite general sense, covered by the theory of Mosco convergence.

Kategorie tematyczne

• 35B38: Critical points
• 35B40: Asymptotic behavior of solutions
• 35B41: Attractors

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2009
• Tom: 86
• Numer: 1
• Strony: 103-113

Daty

wydano

2009

Twórcy

autor

Maria Gokieli

• Interdisciplinary Centre for Mathematical and Computational Modelling, University of Warsaw, Żwirki i Wigury 93, 02-089 Warszawa, Poland

autor

Nicolas Varchon

• Interdisciplinary Centre for Mathematical and Computational Modelling, University of Warsaw, Żwirki i Wigury 93, 02-089 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc86-0-6