Article ID Journal Published Year Pages File Type
1707735 Applied Mathematics Letters 2015 6 Pages PDF
Abstract

We study the existence of exponential attractor for the Kirchhoff equations with strong nonlinear damping and supercritical nonlinearity utt−σ(‖∇u‖2)Δut−ϕ(‖∇u‖2)Δu+f(u)=h(x)utt−σ(‖∇u‖2)Δut−ϕ(‖∇u‖2)Δu+f(u)=h(x). The main result is that the nonlinearity f(u)f(u) is of supercritical growth. In this case we establish an exponential attractor in natural energy space by using a new method based on the weak quasi-stability estimates (rather than the strong one as usual).

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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