Geodesic
Limiting behavior of global attractors for singularly perturbed beam equations with strong damping
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 1, pp. 45-60

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The limiting behavior of global attractors $\Cal A_\varepsilon $ for singularly perturbed beam equations $$\varepsilon^2 \frac{\partial^2u}{\partial t^2}+ \varepsilon\delta \frac{\partial u}{\partial t}+A \frac{\partial u}{\partial t}+\alpha Au+g(\|u\|_{1/4}^2)A^{1/2}u=0 $$ is investigated. It is shown that for any neighborhood $\Cal U$ of $\Cal A_0$ the set $\Cal A_\varepsilon$ is included in $\Cal U$ for $\varepsilon$ small.
Classification : 35B25, 35B40, 35Q20, 35Q72, 37C70, 47H20, 73K05, 74H45, 74K10
Keywords: strongly damped beam equation; compact attractor; upper semicontinuity of global attractors 
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     author = {\v{S}ev\v{c}ovi\v{c}, Daniel},
     title = {Limiting behavior of global attractors  for singularly perturbed beam equations  with strong damping},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {45--60},
     publisher = {mathdoc},
     volume = {32},
     number = {1},
     year = {1991},
     mrnumber = {1118289},
     zbl = {0741.35089},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1991__32_1_a6/}
}
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Ševčovič, Daniel. Limiting behavior of global attractors  for singularly perturbed beam equations  with strong damping. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 1, pp. 45-60. http://geodesic.mathdoc.fr/item/CMUC_1991__32_1_a6/