Global attractors for the 2D hyperbolic Cahn-Hilliard equations

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Atıf İçin Kopyala

KHANMAMEDOV A., YAYLA S.

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, cilt.69, sa.1, 2018 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 69 Sayı: 1
• Basım Tarihi: 2018
• Doi Numarası: 10.1007/s00033-018-0908-y
• Dergi Adı: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Hacettepe Üniversitesi Adresli: Evet

Özet

We consider the initial boundary value problem for the hyperbolic relaxation of the 2D Cahn-Hilliard equation with sub-cubic nonlinearity. Under mild regularity conditions on the nonlinearity, we prove the uniform (with respect to the initial data) boundedness of the weak solutions without assuming lower bound condition on the first derivative of the nonlinear term. Then, we prove the existence of the regular global attractor for the weak solutions.