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- W3126241318 abstract "<p style='text-indent:20px;'>This paper investigates the global existence of weak solutions for the incompressible <inline-formula><tex-math id=M2>begin{document}$ p $end{document}</tex-math></inline-formula>-Navier-Stokes equations in <inline-formula><tex-math id=M3>begin{document}$ mathbb{R}^d $end{document}</tex-math></inline-formula> <inline-formula><tex-math id=M4>begin{document}$ (2leq dleq p) $end{document}</tex-math></inline-formula>. The <inline-formula><tex-math id=M5>begin{document}$ p $end{document}</tex-math></inline-formula>-Navier-Stokes equations are obtained by adding viscosity term to the <inline-formula><tex-math id=M6>begin{document}$ p $end{document}</tex-math></inline-formula>-Euler equations. The diffusion added is represented by the <inline-formula><tex-math id=M7>begin{document}$ p $end{document}</tex-math></inline-formula>-Laplacian of velocity and the <inline-formula><tex-math id=M8>begin{document}$ p $end{document}</tex-math></inline-formula>-Euler equations are derived as the Euler-Lagrange equations for the action represented by the Benamou-Brenier characterization of Wasserstein-<inline-formula><tex-math id=M9>begin{document}$ p $end{document}</tex-math></inline-formula> distances with constraint density to be characteristic functions.</p>" @default.
- W3126241318 created "2021-02-15" @default.
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- W3126241318 date "2022-01-01" @default.
- W3126241318 modified "2023-10-01" @default.
- W3126241318 title "Existence of global weak solutions of $ p $-Navier-Stokes equations" @default.
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- W3126241318 doi "https://doi.org/10.3934/dcdsb.2021051" @default.
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