On Global Attractor for 2D Kirchhoff-Boussinesq Model with Supercritical Nonlinearity

DOI10.1080/03605302.2010.484472zbMath1217.35034OpenAlexW2145224229MaRDI QIDQ3086337

Publication date: 30 March 2011

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605302.2010.484472

zbMATH Keywords

weak and strong solutions plate models Hadamard wellposedness asymptotic quasi-stability inequalities restorative forces smoothness of attractors

Mathematics Subject Classification ID

Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30)

Related Items (23)

Well-posedness and exponential stability for a plate equation with time-varying delay and past history ⋮ On the attractor for a semilinear wave equation with variable coefficients and nonlinear boundary dissipation ⋮ Attractors and their stability on Boussinesq type equations with gentle dissipation ⋮ Asymptotic behavior of non-autonomous Lamé systems with subcritical and critical mixed nonlinearities ⋮ Longtime dynamics of Boussinesq type equations with fractional damping ⋮ Long-time dynamics of a plate equation with memory and time delay ⋮ Squeezing and finite dimensionality of cocycle attractors for 2D stochastic Navier-Stokes equation with non-autonomous forcing ⋮ Asymptotic limits and attractors for a laminated beam model ⋮ Long-time dynamics for a nonlinear viscoelastic Kirchhoff plate equation ⋮ On an elliptic Kirchhoff–Boussinesq type problems with exponential growth ⋮ Nonlinear perturbations of a periodic Kirchhoff-Boussinesq-type problems in \(\mathbb{R}^N\) ⋮ Long-time behavior for a class of semi-linear Viscoelastic Kirchhoff beams/plates ⋮ Asymptotic analysis and upper semicontinuity with respect to rotational inertia of attractors to von Karman plates with geometrically localized dissipation and critical nonlinearity ⋮ Interaction of an elastic plate with a linearized inviscid incompressible fluid ⋮ Long-time dynamics for a class of Kirchhoff models with memory ⋮ Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations ⋮ Well-posedness and attractor on the 2D Kirchhoff-Boussinesq models ⋮ Long-time behavior of a class of thermoelastic plates with nonlinear strain ⋮ Weak and strong semigroups in structural acoustic Kirchhoff-Boussinesq interactions with boundary feedback ⋮ On the two dimensional fast phase transition equation: well-posedness and long-time dynamics ⋮ Global existence and blowup in infinite time for a fourth order wave equation with damping and logarithmic strain terms ⋮ Robust attractors for a Kirchhoff-Boussinesq type equation ⋮ Asymptotic behavior and finite time blow up for damped fourth order nonlinear evolution equation

This page was built for publication: On Global Attractor for 2D Kirchhoff-Boussinesq Model with Supercritical Nonlinearity