Regularity criteria via horizontal component of velocity for the Boussinesq equations in anisotropic Lorentz spaces

• Autorzy: Agarwal Ravi P. , Alghamdi Ahmad M. , Gala Sadek , Ragusa Maria Alessandra

Identyfikatory

DOI

10.1515/dema-2022-0221

• Języki publikacji: EN

Abstrakty

EN

In this article, we study the regularity criteria of the weak solutions to the Boussinesq equations involving the horizontal component of velocity or the horizontal derivatives of the two components of velocity in anisotropic Lorentz spaces. This result reveals that the velocity field plays a dominant role in regularity theory of the Boussinesq equations.

Słowa kluczowe

EN

Boussinesq equation; regularity criterion; weak solutions; anisotropic Lorentz space

PL

równanie Boussinesqa; kryterium prawidłowości; rozwiązania słabe; anizotropowa przestrzeń Lorentza

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220221
• Opis fizyczny: Bibliogr. 37 poz.

Twórcy

autor

Agarwal Ravi P.

• Department of Mathematics, Texas A & M University-Kingsville, Kingsville, USA

autor

Alghamdi Ahmad M.

• Department of Mathematical Science, Faculty of Applied Sciences, Umm Al-Qura University, Makkah 21955, Saudi Arabia

autor

Gala Sadek

• University of Mostaganem, Mostaganem, 27000, Algeria; Dipartimento di Matematica e Informatica, Università di Catania, Catania, Italy

autor

Ragusa Maria Alessandra

• Dipartimento di Matematica e Informatica, Università di Catania, Catania, Italy
• Faculty of Fundamental Science, Industrial University of Ho Chi Minh City, Ho Chi Minh City, Vietnam

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).