一类时分数非稳态可压缩 Navier-Stokes-Voigt 方程的存在性结果

Axioms Pub Date : 2024-07-25 DOI:10.3390/axioms13080499

Keji Xu, Biao Zeng

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引用次数: 0

摘要

在这项研究中，我们致力于处理一类涉及卡普托分数导数的时分数非稳态不可压缩纳维-斯托克斯-沃伊特方程。利用方程中算子的性质，我们使用罗特方法，通过验证非线性弱连续算子的可射性定理的所有条件，证明了方程弱解的存在性。

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

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.

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Axioms

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