Attractors for the generalized Benjamin-Bona-Mahony equation

Celebi A., Kalantarov V., Polat M.

JOURNAL OF DIFFERENTIAL EQUATIONS, cilt.157, sa.2, ss.439-451, 1999 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 157 Sayı: 2
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1006/jdeq.1999.3634
  • Dergi Adı: JOURNAL OF DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.439-451
  • Anahtar Kelimeler: attractor, exponential attractor, fractal dimension, BEHAVIOR, DECAY
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

We consider the periodic initial-boundary value problem for a multidimensional generalized Benjamin-Bona-Mahony equation. We show the existence of the global attractor with a finite Fractal dimension and the existence of the exponential attractor for the corresponding semigroup. (C) 1999 Academic Press.