Existence of global attractor for the velocity–vorticity model of the g-Navier–Stokes equations

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Kazar Ö., KAYA M.

European Physical Journal Plus, cilt.141, sa.6, 2026 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 141 Sayı: 6
• Basım Tarihi: 2026
• Doi Numarası: 10.1140/epjp/s13360-026-07906-z
• Dergi Adı: European Physical Journal Plus
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we prove the existence of global attractors for the two-dimensional velocity–vorticity model of the g-Navier–Stokes equations. The proof is based on energy estimates in Sobolev spaces, which help us understand the long-term behavior of the system.