Pullback dynamics of Lamé systems with time-dependent weak damping. (English) Zbl 1526.35083
Summary: We study the longtime dynamics of nonautonomous Lamé systems with time-dependent weak damping. Firstly we establish the existence of pullback exponential attractors. Then we study the existence of a minimal pullback attractor and its improved regularity. By assuming the damping mechanism is defined by a \(\varepsilon\)-family of coefficients we also explore the almost everywhere continuity of the attractor with respect to the parameter \(\varepsilon\).
MSC:
| 35B41 | Attractors |
| 35L53 | Initial-boundary value problems for second-order hyperbolic systems |
| 35L71 | Second-order semilinear hyperbolic equations |
| 74H40 | Long-time behavior of solutions for dynamical problems in solid mechanics |
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