Long time decay of incompressible convective Brinkman-Forchheimer in L 2(ℝ3)-Reference-Cited by-同舟云学术

Long time decay of incompressible convective Brinkman-Forchheimer in L ²(ℝ³)

Published:2024-01-01 Issue:1 Volume:57 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Jlali Lotfi¹,Benameur Jamel²

Affiliation:

1. Department of Mathematics and Statistics, College of Science Imam Mohammad Ibn Saud Islamic University (IMSIU) , Riyadh 11566 , Saudi Arabia

2. Department of Mathematics, Faculty of Sciences, University of Gabes , Zrig Eddakhlania , Tunisia

Abstract

Abstract In this article, we study the global existence, uniqueness, and continuity for the solution of incompressible convective Brinkman-Forchheimer on the whole space

R 3

{{\mathbb{R}}}^{3}

when

4 μ β ≥ 1

4\mu \beta \ge 1

. Additionally, we give an asymptotic type of convergence of the global solution.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/dema-2024-0013/pdf

Reference12 articles.

1. A. V. Shenoy, Non-Newtonian fluid heat transfer in porous media, Adv. Heat Transfer 24 (1994), 101–190.

2. R. G. Gordeev, The existence of a periodic solution in a certain problem of tidal dynamics. In: Problems of Mathematical Analysis, No. 4: Integral and Differential Operators. Differential equations (Russian), Izdat. Leningrad. Univ., Leningrad, 1973.

3. A. L. Likhtarnikov, Existence and stability of bounded and periodic solutions in a nonlinear problem of tidal dynamics. In The Direct Method in the Theory of Stability and its Applications (Irkutsk, 1979), “Nauka” Sibirsk. Otdel., Novosibirsk, vol. 276, 1981, pp. 83–91.

4. X. Cai and Q. Jiu, Weak and strong solutions for the incompressible Navier-Stokes equations with damping, J. Math. Anal. Appl. 343 (2008), no. 2, 799–809.

5. J. Benameur, Global weak solution of 3D-NSE with exponential damping, Open Mathematics 20 (2022), 590–607.