منابع مشابه
A ug 2 01 4 Kirchhoff equations with strong damping
We consider Kirchhoff equations with strong damping, namely with a friction term which depends on a power of the “elastic” operator. We address local and global existence of solutions in two different regimes depending on the exponent in the friction term. When the exponent is greater than 1/2, the dissipation prevails, and we obtain global existence in the energy space assuming only degenerate...
متن کاملBlow-up of solutions to a class of Kirchhoff equations with strong damping and nonlinear dissipation
and many authors have studied the existence and uniqueness of global solution, the blowup of the solution (see [–] and the references therein). WhenM is not a constant function, equation (.)without the damping and source terms is often called a Kirchhoff-type wave equation; it has first been introduced by Kirchhoff [] in order to describe the nonlinear vibrations of an elastic string. When...
متن کاملOscillator with Strong Quadratic Damping Force
Oscillations of a system with strong quadratic damping are considered. For the exact analytical form of the energy-displacement function the explicit form of the maximal amplitudes of vibration are obtained by introducing the Lambert W function. Comparing the neighbor maximal amplitudes and the corresponding energies the conclusions about the energy dissipation is given. The approximate solutio...
متن کاملLimiting behavior of global attractors for singularly perturbed beam equations with strong damping
The limiting behavior of global attractors Aε for singularly perturbed beam equations ε ∂u ∂t2 + εδ ∂u ∂t + A ∂u ∂t + αAu+ g(‖u‖ 1/4)A u = 0 is investigated. It is shown that for any neighborhood U of A0 the set Aε is included in U for ε small.
متن کاملExistence of Exponential Attractors for the Plate Equations with Strong Damping
We show the existence of (H2 0 (Ω)×L2(Ω), H2 0 (Ω)×H2 0 (Ω))-global attractors for plate equations with critical nonlinearity when g ∈ H−2(Ω). Furthermore we prove that for each fixed T > 0, there is an (H2 0 (Ω) × L2(Ω), H2 0 (Ω) × H2 0 (Ω))T -exponential attractor for all g ∈ L2(Ω), which attracts any H2 0 (Ω)×L2(Ω)-bounded set under the stronger H2(Ω)×H2(Ω)-norm for all t ≥ T .
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Evolution Equations
سال: 2016
ISSN: 1424-3199,1424-3202
DOI: 10.1007/s00028-015-0308-0