Invariant manifolds for coupled nonlinear parabolic-hyperbolic partial differential equations

• Datum: 2005
• Hauptverfasser: Fastovska, T. B., Фастовська, Т. В.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2005
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3719
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider an abstract system of coupled nonlinear parabolic-hyperbolic partial differential equations. This system describes, e.g., thermoelastic phenomena in various physical bodies. Several results on the existence of invariant exponentially attracting manifolds for similar problems were obtaine...