Dynamics of a Cauchy problem related to extensible beams under nonlocal and localized damping effects

YAYLA, SEMA; Cardozo, Camila; Jorge Silva, Marcio; Narciso, Vando

doi:10.1016/j.jmaa.2020.124620

Dynamics of a Cauchy problem related to extensible beams under nonlocal and localized damping effects

YAYLA S., Cardozo C. L., Jorge Silva M. A., Narciso V.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.494, sa.1, 2021 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 494 Sayı: 1
Basım Tarihi: 2021
Doi Numarası: 10.1016/j.jmaa.2020.124620
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
Hacettepe Üniversitesi Adresli: Evet

Özet

This paper is devoted to the study of long-time dynamics of a Cauchy problem related to extensible beam models with dissipative effects coming from the nonlocal Balakrishnan-Taylor and the localized weak damping terms in R-n. Our first main result features a new unique continuation property for models associated with extensible beams. Then, applying such a property and with the fundamental aid of the nonlocal Balakrishnan-Taylor damping term, we state and prove our second main result dealing with the existence, characterization and regularity of a compact global attractor for the corresponding nonlinear dynamical system. (C) 2020 Elsevier Inc. All rights reserved.