On the weak solution for the regularized Bénard problem with damping

Aysun Atmaca; Meryem Kaya

Makale detayları

On the weak solution for the regularized Bénard problem with damping

Yazarlar:

Aysun Atmaca | Meryem Kaya

Yayıncı:

Ankara University

Ana Başlıklar:

Partial Differential Equations

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.74 Issue 2, pp.219-227

Belge Tipi:

Makale

Yayın Tarihi:

6/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001348169

pISSN:

1303-5991

Anahtar kelimeler:

Özet:

 In this paper we examine the regularized Bénard problem in porous media within three dimensional case. We consider the regularized Bénard problem with damping au2betau. The results hold in the context of periodic boundary conditions. We prove the existence of weak solutions for any beta ge 0 and establish uniqueness of the weak solution for any frac54le beta le 2.

 In this paper we examine the regularized Bénard problem in porous media within three dimensional case. We consider the regularized Bénard problem with damping au2betau. The results hold in the context of periodic boundary conditions. We prove the existence of weak solutions for any beta ge 0 and establish uniqueness of the weak solution for any frac54le beta le 2.

 In this paper we examine the regularized Bénard problem in porous media within three dimensional case. We consider the regularized Bénard problem with damping au2betau. The results hold in the context of periodic boundary conditions. We prove the existence of weak solutions for any beta ge 0 and establish uniqueness of the weak solution for any frac54le beta le 2.

 In this paper we examine the regularized Bénard problem in porous media within three dimensional case. We consider the regularized Bénard problem with damping au2betau. The results hold in the context of periodic boundary conditions. We prove the existence of weak solutions for any beta ge 0 and establish uniqueness of the weak solution for any frac54le beta le 2.

Makale detayları

On the weak solution for the regularized Bénard problem with damping

Yazarlar:

Aysun Atmaca | Meryem Kaya

Yayıncı:

Ankara University

Ana Başlıklar:

Partial Differential Equations

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.74 Issue 2, pp.219-227

Belge Tipi:

Makale

Yayın Tarihi:

6/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001348169

pISSN:

1303-5991

Bénard problem

weak solutions

porous media

damping term

Sayı

Makale detayları

On the weak solution for the regularized Bénard problem with damping

Yazarlar: Aysun Atmaca | Meryem Kaya

Yayıncı: Ankara University

Ana Başlıklar: Partial Differential Equations

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.74 Issue 2, pp.219-227

Belge Tipi: Makale

Yayın Tarihi: 6/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001348169

pISSN: 1303-5991

Bénard problem

weak solutions

porous media

damping term

Sayı

Yazarlar:

Aysun Atmaca | Meryem Kaya

Yayıncı:

Ankara University

Ana Başlıklar:

Partial Differential Equations

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.74 Issue 2, pp.219-227

Belge Tipi:

Makale

Yayın Tarihi:

6/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001348169

pISSN:

1303-5991