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A Regularity Criterion in Weak Spaces to Boussinesq Equations

Author

Listed:
  • Ravi P. Agarwal

    (Department of Mathematics, Texas A & M University-Kingsville, Kingsville, TX 78363-8202, USA)

  • Sadek Gala

    (Ecole Normale Supérieure de Mostaganem, University of Mostaganem, P. O. Box 270, Mostaganem 27000, Algeria
    Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria 6, 95125 Catania, Italy)

  • Maria Alessandra Ragusa

    (Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria 6, 95125 Catania, Italy
    RUDN University, 6 Miklukho, Maklay St, Moscow 117198, Russia)

Abstract

In this paper, we study the regularity of weak solutions to the incompressible Boussinesq equations in R 3 × ( 0 , T ) . The main goal is to establish the regularity criterion in terms of one velocity component and the gradient of temperature in Lorentz spaces.

Suggested Citation

  • Ravi P. Agarwal & Sadek Gala & Maria Alessandra Ragusa, 2020. "A Regularity Criterion in Weak Spaces to Boussinesq Equations," Mathematics, MDPI, vol. 8(6), pages 1-11, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:920-:d:367921
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    Citations

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    Cited by:

    1. Humaira Yasmin & Naveed Iqbal & Anum Tanveer, 2020. "Engineering Applications of Peristaltic Fluid Flow with Hall Current, Thermal Deposition and Convective Conditions," Mathematics, MDPI, vol. 8(10), pages 1-21, October.
    2. Askar, S.S., 2022. "Nonlinear dynamic investigations and global analysis of a Cournot duopoly game with two different objectives," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    3. Samad Noeiaghdam & Sanda Micula, 2021. "A Novel Method for Solving Second Kind Volterra Integral Equations with Discontinuous Kernel," Mathematics, MDPI, vol. 9(17), pages 1-12, September.

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