Existence Result for a Class of Time-Fractional Nonstationary Incompressible Navier–Stokes

Existence Result for a Class of Time-Fractional Nonstationary Incompressible Navier–Stokes–Voigt Equations

Published:2024-07-25 Issue:8 Volume:13 Page:499
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Xu Keji¹,Zeng Biao²^ORCID

Affiliation:

1. College of General Education, Guangxi Vocational University of Agriculture, Nanning 530009, China

2. School of Mathematics and Physics, Center for Applied Mathematics of Guangxi, Guangxi Minzu University, Nanning 530006, China

Abstract

We are devoted in this work to dealing with a class of time-fractional nonstationary incompressible Navier–Stokes–Voigt equation involving the Caputo fractional derivative. By exploiting the properties of the operators in the equation, we use the Rothe method to show the existence of weak solutions to the equation by verifying all the conditions of the surjectivity theorem for nonlinear weakly continuous operators.

Funder

Basic Ability Improvement Project for Middle-Aged and Young Teachers of Universities in Guangxi

Special Fund for Science and Technological Bases and Talents of Guangxi

National Natural Science Foundation of China

Start-up Project of Scientific Research on Introducing talents at school level in Guangxi Minzu University

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/8/499/pdf

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