Blow-up of solutions for the damped Boussinesq equation

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Polat N., KAYA D., Tutalar H. I.

Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences, cilt.60, sa.7, ss.473-476, 2005 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 7
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1515/zna-2005-0701
  • Dergi Adı: Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.473-476
  • Anahtar Kelimeler: Blow-up of Solutions, Damped Boussinesq Equation, Hölder Inequality, Inequality, Initial Boundary Value Problems, Sobolev-Poincaré
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

We consider the blow-up of solutions as a function of time to the initial boundary value problem for the damped Boussinesq equation. Under some assumptions we prove that the solutions with vanishing initial energy blow up in finite time. © 2005 Verlag der Zeitschrift für Naturforschung, Tübingen.