An attractor of a nonlinear system of reaction-diffusion equations in \(\mathbb{R}^n\) and estimates of its \(\varepsilon\)-entropy

DOI10.1007/BF02675597zbMath0948.35016MaRDI QIDQ1974393

Serguei Zelik

Publication date: 19 November 2000

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

weighted Lebesgue spacequasilinear parabolic systemsKolmogorov \(\varepsilon\)-entropy

Mathematics Subject Classification ID

Attractors (35B41) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic systems (35K45)

Related Items (5)

Spatial and dynamical chaos generated by reaction-diffusion systems in unbounded domains ⋮ Numerical computation of \(\varepsilon\)-entropy for parabolic equations with analytic solutions ⋮ Infinite-dimensional hyperbolic sets and spatio-temporal chaos in reaction diffusion systems in \(\mathbb{R}^n\) ⋮ Topological entropy by unit length for the Ginzburg-Landau equation on the line ⋮ Multiparameter semigroups and attractors of reaction-diffusion equations in ${\mathbb R}^n$

Cites Work

• Infinite-dimensional dynamical systems in mechanics and physics
• Finite-dimensional attractors for reaction-diffusion equations in \(\mathbb{R}^n\) with a strong nonlinearity
• On the existence of the compact global attractor for semilinear reaction diffusion systems on \(\mathbb{R}^ N\)

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