The Fractional Navier-Stokes Equations with delay conditions

Autor: Hicham Ben tahir, Said Melliani, Mhamed Elomari
Jazyk: English<br />Portuguese
Rok vydání: 2024
Předmět:
Zdroj: Boletim da Sociedade Paranaense de Matemática, Vol 42 (2024)
Druh dokumentu: article
ISSN: 0037-8712
2175-1188
DOI: 10.5269/bspm.66727
Popis: Throught this paper,we study the cauchy problem for the conformable fractional Navier-Stokes Equations (FNSE) with finite delay external forces, contains some hereditary features, on a bounded domain. We prove that there exist a unique local mild solutions for the initial datum, by using semigroup theory, conformable fractional calculus and Banach contraction theorem.With more conditions on delay external forces we establish the globality and continuation of the mild solutions.
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