Finite fractal dimension of pullback attractors for semilinear heat equation with delay in some domain with moving boundary
DOI10.1016/j.na.2022.113107zbMath1498.35103OpenAlexW4291497974WikidataQ113868518 ScholiaQ113868518MaRDI QIDQ2079663
Obidio Rubio, Marcelo J. D. Nascimento, Heraclio López-Lázaro
Publication date: 30 September 2022
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2022.113107
moving boundarynonlinear heat equationdelay differential equationsfractal dimensionpullback 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) Partial functional-differential equations (35R10) Semilinear parabolic equations (35K58) Moving boundary problems for PDEs (35R37) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Robustness of nonautonomous attractors for a family of nonlocal reaction-diffusion equations without uniqueness
- Attractors for infinite-dimensional non-autonomous dynamical systems
- 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
- Robustness of time-dependent attractors in \(H^1\)-norm for nonlocal problems
- Asymptotic behaviour of nonlocal \(p\)-Laplacian reaction-diffusion problems
- A note on the delayed heat equation: instability with respect to initial data
- Pullback attractors for 2D-Navier-Stokes equations with delays in continuous and sub-linear operators
- Pullback attractors for a semilinear heat equation in a non-cylindrical domain
- Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions
- Pullback attractors for non-Newtonian fluids with shear dependent viscosity
- Attractors representing turbulent flows
- Global lyapunov exponents, kaplan-yorke formulas and the dimension of the attractors for 2D navier-stokes equations
- Navier-Stokes equations with delays
- General One-Phase Stefan Problems and Free Boundary Problems for the Heat Equation with Cauchy Data Prescribed on the Free Boundary
This page was built for publication: Finite fractal dimension of pullback attractors for semilinear heat equation with delay in some domain with moving boundary