Global attractors for 2-D wave equations with displacement-dependent damping
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.33, sa.2, ss.177-187, 2010 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 33 Sayı: 2
- Basım Tarihi: 2010
- Doi Numarası: 10.1002/mma.1161
- Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.177-187
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Hacettepe Üniversitesi Adresli: Evet
Özet
In this paper the long-time behaviour of the solutions of 2-13 wave equation with a damping coefficient depending on the displacement is studied. It is shown that the semigroup generated by this equation possesses a global attractor in H(0)(1)(Omega) x L(2)(Omega) and H(2)(Omega)boolean AND H(0)(1)(Omega) x H(0)(1)(Omega). Copyright (C) 2009 John Wiley & Sons, Ltd.