A study of the time fractional Navier-Stokes equations for vertical flow

A study of the time fractional Navier-Stokes equations for vertical flow

Navier-Stokes (NS) equations dealing with gravitational force with time-fractional derivatives are discussed in this paper. These equations can be used to predict fluid velocity and pressure for a given geometry. This paper investigates the local and global existence and uniqueness of mild solutions...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Abdelkader Moumen, Ramsha Shafqat, Azmat Ullah Khan Niazi, Nuttapol Pakkaranang, Mdi Begum Jeelani, Kiran Saleem
Μορφή: Άρθρο
Γλώσσα:English
Έκδοση: AIMS Press 2023-02-01
Σειρά:AIMS Mathematics
Θέματα:
navier-stokes equations
mild solution
existence and uniqueness
caputo fractional derivative
mittag-leffler functions
regularity
Διαθέσιμο Online:https://www.aimspress.com/article/doi/10.3934/math.2023437?viewType=HTML
Περιγραφή
Περίληψη:Navier-Stokes (NS) equations dealing with gravitational force with time-fractional derivatives are discussed in this paper. These equations can be used to predict fluid velocity and pressure for a given geometry. This paper investigates the local and global existence and uniqueness of mild solutions to NS equations for the time fractional differential operator. We also work on the regularity effects of such types of equations were caused by orthogonal flow.
ISSN:2473-6988

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