EXPONENTIAL ATTRACTORS AND INERTIAL MANIFOLDS FOR A CLASS OF NONLINEAR GENERALIZED KIRCHHOFF-BOUSSINESQ MODEL

DOI10.17654/MS101091913zbMath1386.35139OpenAlexW2610882710WikidataQ115505324 ScholiaQ115505324MaRDI QIDQ4975480

Penghui Lv, Ruijin Lou, Guoguang Lin

Publication date: 7 August 2017

Published in: Far East Journal of Mathematical Sciences (FJMS) (Search for Journal in Brave)

Full work available at URL: http://www.pphmj.com/abstract/10724.htm

zbMATH Keywords

squeezing propertyinertial manifoldsexponential attractorsKirchhoff-Boussinesq equations

Mathematics Subject Classification ID

Inertial manifolds (35B42) Second-order parabolic equations (35K10)

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The family of random attractors for nonautonomous stochastic higher-order Kirchhoff equations with variable coefficients ⋮ Exponential attractor for Kirchhoff model with time delay and thermal effect ⋮ Well-posedness and global attractor of Kirchhoff equation with memory term and thermal effect ⋮ Fractal dimension of global attractors for a Kirchhoff wave equation with a strong damping and a memory term ⋮ The asymptotic behaviors of solutions for higher-order \((m_1, m_2)\)-coupled Kirchhoff models with nonlinear strong damping

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