التفاصيل البيبلوغرافية
| العنوان: |
Touchdown solutions in general MEMS models |
| المؤلفون: |
Clemente Rodrigo, Marcos do Ó João, da Silva Esteban, Shamarova Evelina |
| المصدر: |
Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 277-283 (2023) |
| بيانات النشر: |
De Gruyter, 2023. |
| سنة النشر: |
2023 |
| المجموعة: |
LCC:Analysis |
| مصطلحات موضوعية: |
touchdown solution, singular solution, pull-in voltage, subsolution and supersolution, asymptotic behavior, 34b15, 35a24, 35b09, 35b40, 35j75, Analysis, QA299.6-433 |
| الوصف: |
We study general problems modeling electrostatic microelectromechanical systems devices (Pλ )φ(r,−u′(r))=λ∫0rf(s)g(u(s))ds,r∈(0,1),00\lambda \gt 0 is a parameter. We obtain results on the existence and regularity of a touchdown solution to (Pλ{P}_{\lambda }) and find upper and lower bounds on the respective pull-in voltage. In the particular case, when φ(r,v)=rα∣v∣βv\varphi \left(r,v)={r}^{\alpha }{| v| }^{\beta }v, i.e., when the associated differential equation involves the operator r−γ(rα∣u′∣βu′)′{r}^{-\gamma }\left({r}^{\alpha }{| u^{\prime} | }^{\beta }u^{\prime} )^{\prime} , we obtain an exact asymptotic behavior of the touchdown solution in a neighborhood of the origin. |
| نوع الوثيقة: |
article |
| وصف الملف: |
electronic resource |
| اللغة: |
English |
| تدمد: |
2191-950X |
| Relation: |
https://doaj.org/toc/2191-950X |
| DOI: |
10.1515/anona-2023-0102 |
| URL الوصول: |
https://doaj.org/article/bdd43cb993a84328b5dc601225fea18f |
| رقم الانضمام: |
edsdoj.bdd43cb993a84328b5dc601225fea18f |
| قاعدة البيانات: |
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