On dimension of the global attractor for damped nonlinear wave equations

DOI10.1063/1.532813zbMath0943.35009OpenAlexW2031305100MaRDI QIDQ4701799

Shengfan Zhou

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532813

zbMATH Keywords

dimension decreases as the damping growsupper bound of the Hausdorff dimension

Mathematics Subject Classification ID

Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

Related Items (5)

Dimension of the global attractor for damped semilinear wave equations with critical exponent ⋮ Random attractor and random exponential attractor for stochastic non-autonomous damped cubic wave equation with linear multiplicative white noise ⋮ Global attractor for Klein-gordon-schrödinger lattice system ⋮ On the dimension of the global attractor for a damped semilinear wave equation with critical exponent ⋮ Estimates on the dimension of an attractor for a nonclassical hyperbolic equation

Cites Work

• On the dimension of the global attractor for the damped Sine–Gordon equation

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