Limiting behavior of global attractors for singularly perturbed beam equations with strong damping
Ševčovič, Daniel
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991), p. 45-60 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 1991-01-01
Classification:  35B25,  35B40,  35Q20,  35Q72,  37C70,  47H20,  73K05,  74H45,  74K10 
@article{116942,
     author = {Daniel \v Sev\v covi\v c},
     title = {Limiting behavior of global attractors  for singularly perturbed beam equations  with strong damping},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {32},
     year = {1991},
     pages = {45-60},
     zbl = {0741.35089},
     mrnumber = {1118289},
     language = {en},
     url = {http://dml.mathdoc.fr/item/116942}
}

Ševčovič, Daniel. Limiting behavior of global attractors  for singularly perturbed beam equations  with strong damping. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) pp. 45-60. http://gdmltest.u-ga.fr/item/116942/

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