Pullback attractors with finite fractal dimension for a semilinear transfer equation with delay in some non-cylindrical domain
From MaRDI portal
Publication:6130236
DOI10.1016/j.jde.2024.02.005MaRDI QIDQ6130236
Vinicius T. Azevedo, Marcelo J. D. Nascimento, Heraclio López-Lázaro, Carlos R. jun. Takaessu
Publication date: 2 April 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
nonlinear parabolic equationdelay differential equationsfractal dimensionnon-cylindrical domainpullback attractors
Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58) Moving boundary problems for PDEs (35R37) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
Cites Work
- Unnamed Item
- Robustness of nonautonomous attractors for a family of nonlocal reaction-diffusion equations without uniqueness
- Reaction-diffusion equations with non-autonomous force in \(H^{-1}\) and delays under measurability conditions on the driving delay term
- Pullback attractors in \(V\) for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour
- Pullback attractors for a semilinear heat equation on time-varying domains
- On the relation between two different concepts of pullback attractors for non-autonomous dynamical systems
- Infinite-dimensional dynamical systems in mechanics and physics
- Large time behavior via the method of \(\ell\)-trajectories
- Robustness of time-dependent attractors in \(H^1\)-norm for nonlocal problems
- Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
- Finite fractal dimension of pullback attractors for semilinear heat equation with delay in some domain with moving boundary
- Pullback exponential attractors
- Pullback attractors for a semilinear heat equation in a non-cylindrical domain
- Pullback attractors for non-Newtonian fluids with shear dependent viscosity
- Structure and bifurcation of pullback attractors in a non-autonomous Chafee-Infante equation
- Navier-Stokes equations with delays
