Global attractors for 2-D wave equations with displacement-dependent damping

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Khanmamedov A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.33, sa.2, ss.177-187, 2010 (SCI-Expanded) identifier identifier

  • 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
  • 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.