On Lr -regularity of global attractors generated by strong solutions of reaction-diffusion equations

DOI10.21042/AMNS.2016.2.00033zbMath1379.37134OpenAlexW2520274382MaRDI QIDQ4597662

Valero, José

Publication date: 14 December 2017

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21042/amns.2016.2.00033

zbMATH Keywords

global attractorreaction-diffusion equationmultivalued semiflow

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Nonlinear parabolic equations (35K55) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Related Items (2)

An integrable lattice hierarchy based on suris system: \(N\)-fold Darboux transformation and conservation laws ⋮ Extremal bounded complete trajectories for nonautonomous reaction-diffusion equations with discontinuous forcing term

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Structure and regularity of the global attractor of a reaction-diffusion equation with non-smooth nonlinear term
• Regular solutions and global attractors for reaction-diffusion systems without uniqueness
• Strong trajectory attractor for a dissipative reaction-diffusion system
• Evolution inclusions and variation inequalities for earth data processing. III. Long-time behavior of evolution inclusions solutions in earth data analysis.
• On the connectedness and asymptotic behaviour of solutions of reaction-diffusion systems
• Extremal equilibria for reaction-diffusion equations in bounded domains and applications
• Attractors for a non-linear parabolic equation modelling suspension flows
• On the Kneser property for the complex Ginzburg-Landau equation and the Lotka-Volterra system with diffusion
• On the Kneser property for reaction-diffusion systems on unbounded domains
• Global attractor for the \(m\)-semiflow generated by a quasilinear degenerate parabolic equation
• Semigroups of linear operators and applications to partial differential equations
• Regular attractors of semigroups and evolution equations
• Some infinite-dimensional Morse-Smale systems defined by parabolic partial differential equations
• Examples of attractors in scalar reaction-diffusion equations
• Properties of the attractor of a scalar parabolic PDE
• Infinite-dimensional dynamical systems in mechanics and physics.
• Trajectory attractors for reaction-diffusion systems
• Global attractors of a nonautonomous reaction-diffusion equation
• Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains
• Heteroclinic orbits of semilinear parabolic equations
• Weak and strong attractors for the 3D Navier-Stokes system
• COMPARISON BETWEEN TRAJECTORY AND GLOBAL ATTRACTORS FOR EVOLUTION SYSTEMS WITHOUT UNIQUENESS OF SOLUTIONS
• Attractors for reaction-diffusion equations: existence and estimate of their dimension
• Attractors of Multivalued Dynamical Processes Generated by Phase-Field Equations
• Functional Analysis
• Attractors of parabolic problems with nonlinear boundary conditions. uniform bounds
• Attractors of partial differential evolution equations in an unbounded domain

This page was built for publication: On L^r -regularity of global attractors generated by strong solutions of reaction-diffusion equations