Upper semicontinuity for attractors of parabolic problems with localized large diffusion and nonlinear boundary conditions
From MaRDI portal
Publication:1592705
DOI10.1006/jdeq.2000.3876zbMath0963.35024OpenAlexW2141139263MaRDI QIDQ1592705
José M. Arrieta, Aníbal Rodgriguez-Bernal, Alexandre Nolasco De Carvalho
Publication date: 18 June 2001
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/2baa1ff7ff3ad7f24bc543bb805ecb3808e9e8c8
Attractors (35B41) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability in context of PDEs (35B35)
Related Items (28)
A Nonlinear Diffusion Problem with Localized Large Diffusion ⋮ Spectral convergence and nonlinear dynamics of reaction-diffusion equations under perturbations of the domain ⋮ Robustness of nonautonomous attractors for a family of nonlocal reaction-diffusion equations without uniqueness ⋮ Study of ODE limit problems for reaction-diffusion equations ⋮ Rate of convergence of attractors for singularly perturbed semilinear problems ⋮ Convergence of nonautonomous multivalued problems with large diffusion to ordinary differential inclusions ⋮ Interaction of localized large diffusion and boundary conditions ⋮ Parabolic equations with localized large diffusion: rate of convergence of attractors ⋮ Destabilization threshold curves for diffusion systems with equal diffusivity under non-diagonal flux boundary conditions ⋮ Upper semi-continuous convergence of attractors for a Hopfield-type lattice model ⋮ Asymptotic regularity and attractors of the reaction-diffusion equation with nonlinear boundary condition ⋮ Competition reation-diffusion and asymptotical behaviour of a doubly nonlinear obstacle problem ⋮ Well-posedness and long time behavior for \(p\)-Laplacian equation with nonlinear boundary condition ⋮ Upper and lower semicontinuity of impulsive cocycle attractors for impulsive nonautonomous systems ⋮ On the upper semicontinuity of the global attractor for a porous medium type problem with large diffusion ⋮ A diffusion model for cell polarization with interactions on the membrane ⋮ Reaction-diffusion coupled inclusions with variable exponents and large diffusion ⋮ Asymptotic properties in parabolic problems dominated by a \(p\)-Laplacian operator with localized large diffusion ⋮ Transversality of stable and unstable manifolds for parabolic problems arising in composite materials ⋮ On the effects of migration and spatial heterogeneity on single and multiple species ⋮ Attractors of the non-autonomous reaction-diffusion equation with nonlinear boundary condition ⋮ Continuity of the attractors in a singular problem arising in composite materials ⋮ Upper and weak-lower semicontinuity of pullback attractors to impulsive evolution processes ⋮ A Morse-Smale ordinary differential equation in \(\mathbb{R}^N\) ⋮ SOME QUALITATIVE DYNAMICS OF NONLINEAR BOUNDARY CONDITIONS ⋮ A General Approximation Scheme for Attractors of Abstract Parabolic Problems ⋮ Homogenization process for a semi-diffusive coupled inclusion system ⋮ Extinction for a p-Laplacian equation with gradient source and nonlinear boundary condition
Cites Work
- Unnamed Item
- Unnamed Item
- Varying boundary conditions with large diffusivity
- Semigroups of linear operators and applications to partial differential equations
- Large diffusivity and asymptotic behavior in parabolic systems
- Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation
- Geometric theory of semilinear parabolic equations
- Parabolic problems with nonlinear boundary conditions and critical nonlinearities
- A scalar parabolic equation whose asymptotic behavior is dictated by a system of ordinary differential equations
- Linear and quasilinear elliptic equations
- Shadow systems and attractors in reaction-diffusion equations
- Large diffusion with dispersion
- Large Time Behavior of Solutions of Systems of Nonlinear Reaction-Diffusion Equations
- Localized Spatial Homogenization and Large Diffusion
- Abstract parabolic problems with critical nonlinearities and applications to Navier-Stokes and heat equations
- Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds
This page was built for publication: Upper semicontinuity for attractors of parabolic problems with localized large diffusion and nonlinear boundary conditions