On the weak solution for the regularized Bénard problem with damping
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, cilt.74, sa.2, ss.219-227, 2025 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 74 Sayı: 2
- Basım Tarihi: 2025
- Doi Numarası: 10.31801/cfsuasmas.1551018
- Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.219-227
- Gazi Üniversitesi Adresli: Evet
Özet
In this paper, we examine the regularized B ́enard problem in porous media within three- dimensional case. We consider the regularized B ́enard problem with damping a|u|2β u. The results hold in the context of periodic boundary conditions. We prove the existence of weak solutions for any β ≥ 0 and establish uniqueness of the weak solution for any 5/4 ≤ β ≤ 2.