RT Journal Article
T1 Upper semicontinuity for attractors of parabolic problems with localized large diffusion and nonlinear boundary conditions
A1 Arrieta Algarra, José María
A1 Carvalho, Alexandre N.
A1 Rodríguez Bernal, Aníbal
AB The motivations to study the problem considered in this paper come from the theory of composite materials, where the heat diffusion properties can change from one part of the domain to another. Mathematically, this leads to a nonlinear second-order parabolic equation for which the diffusion coefficient becomes large in a subdomain Ω 0 ⊂Ω . The equation is supplemented by a nonlinear boundary condition on ∂Ω  and an  initial condition.  The authors determine the form of the limit problem (the so-called shadow system), which involves an evolution equation for the averages of the density over Ω 0  . The main results include global-in-time existence of solutions and upper semicontinuity of the associated global attractors when the system approaches the shadow system.
PB Elsevier
SN 0022-0396
YR 2000
FD 2000-11-20
LK https://hdl.handle.net/20.500.14352/57917
UL https://hdl.handle.net/20.500.14352/57917
LA eng
NO DGICYT (Spain)
NO CNPq (Brazil)
NO FAPESP (Brazil)
DS Docta Complutense
RD 11 abr 2025