RT Journal Article
T1 Nesting inertial manifolds for reaction and diffusion equations with large diffusivity
A1 Rodríguez Bernal, Aníbal
A1 Willie, Robert
AB We study the asymptotic behaviour in large diffusivity of inertial manifolds governing the long time dynamics of a semilinear evolution system of reaction and diffusion equations. A priori, we review both local and global dynamics of the system in scales of Banach spaces of Hilbert type and we prove the existence of a universal compact attractor for the equations. Extensions yield the existence of a family of nesting inertial manifolds dependent on the diffusion of the system of equations. It is introduced an upper semicontinuity notion in large diffusivity for inertial manifolds. The limit inertial manifold whose dimension is strictly less than those of the infinite dimensional system of semilinear evolution equations is obtained.
PB Elsevier
SN 0362-546X
YR 2007
FD 2007-07-01
LK https://hdl.handle.net/20.500.14352/50283
UL https://hdl.handle.net/20.500.14352/50283
LA eng
NO Ministry of Higher Education (Spain)
DS Docta Complutense
RD 9 abr 2025