Long-term damped dynamics of the extensible suspension bridge.

Bochicchio, Ivana; Giorgi, Claudio; Vuk, Elena

Displaying similar documents to “Long-term damped dynamics of the extensible suspension bridge.”

Asymptotic behavior of a sixth-order Cahn-Hilliard system

Alain Miranville (2014)

Open Mathematics

Similarity:

Our aim in this paper is to study the asymptotic behavior, in terms of finite-dimensional attractors, of a sixth-order Cahn-Hilliard system. This system is based on a modification of the Ginzburg-Landau free energy proposed in [Torabi S., Lowengrub J., Voigt A., Wise S., A new phase-field model for strongly anisotropic systems, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 2009, 465(2105), 1337–1359], assuming isotropy.

Stability of suspension bridge. I: Aerodynamic and structural damping.

Ahmed, N.U., Harbi, H. (1998)

Mathematical Problems in Engineering

Similarity:

Exponential decay of energy for some nonlinear hyperbolic equations with strong dissipation.

Ye, Yaojun (2010)

Advances in Difference Equations [electronic only]

Similarity:

On the dimension of the attractor for a perturbed 3d Ladyzhenskaya model

Dalibor Pražák, Josef Žabenský (2013)

Open Mathematics

Similarity:

We consider the so-called Ladyzhenskaya model of incompressible fluid, with an additional artificial smoothing term ɛΔ3. We establish the global existence, uniqueness, and regularity of solutions. Finally, we show that there exists an exponential attractor, whose dimension we estimate in terms of the relevant physical quantities, independently of ɛ > 0.