GENERALIZED LOCAL MIXED MORREY ESTIMATES FOR LINEAR ELLIPTIC SYSTEMS WITH DISCONTINUOUS COEFFICIENTS
    
Yazarlar (3)
Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye
M. N. Omarova
Baku State University, Azerbaycan
A. Serbetci
Ankara Üniversitesi, Türkiye
Makale Türü Özgün Makale (ESCI dergilerinde yayınlanan tam makale)
Dergi Adı Socar Proceedings
Dergi ISSN 2218-6867 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler ESCI, SCOPUS, RSCI
Makale Dili İngilizce Basım Tarihi 01-2025
Cilt / Sayı / Sayfa 0 / 1 / 136–142 DOI 10.5510/OGP20250101053
Makale Linki https://proceedings.socar.az/en/journal/110
Özet
We consider the 2b-order linear elliptic systems (Equation presented) in the generalized local mixed Morrey spaces M{x0}p,ϕ(Rn) and generalized mixed Morrey spaces Mp,ϕ (Rn ), where the principal coefficients Aα are functions with vanishing mean oscillation. We obtain local regularity results for the strong solutions to L(x, D) in the spaces M{x0}p,ϕ(Rn) and Mp,ϕ (Rn ) . Solutions to the linear elliptic systems with discontinuous coefficients are used in many practical applications. However, theoretical understanding of the solutions to these equations is incomplete. We can apply this local regularity results in generalized local mixed Morrey spaces to study the regularity in generalized local mixed Morrey spaces of of the Navier-Stokes equations. Solutions to the Navier-Stokes equations are used in many practical applications. However, theoretical understanding of the solutions to these equations is incomplete. In particular, solutions of the Navier-Stokes equations often include turbulence, which remains one of the greatest unsolved problems in physics, despite its immense importance in science and engineering. The possibilities nowadays to exploit supercomputers and highly developed numerical methods for nonlinear partial differential equations allow us to determine even the general solutions to the Navier-Stokes equations. However the difficulties become greater with increasing Reynolds number. This has to do with the particular structure of the solutions at high Reynolds numbers. Note that in the limiting case of high Reynolds numbers, most of these exact solutions have a boundary-layer character.
Anahtar Kelimeler
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
SCOPUS 4
Google Scholar 5
GENERALIZED LOCAL MIXED MORREY ESTIMATES FOR LINEAR ELLIPTIC SYSTEMS WITH DISCONTINUOUS COEFFICIENTS

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İletişim
  • Kırşehir Ahi Evran Üniversitesi Bağbaşı Yerleşkesi, 40100, KIRŞEHİR \ TÜRKİYE
  • unis@ahievran.edu.tr
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