Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher.
Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?
Some links on this page may take you to non-federal websites. Their policies may differ from this site.
-
Free, publicly-accessible full text available March 31, 2024
-
Free, publicly-accessible full text available January 1, 2024
-
Free, publicly-accessible full text available November 1, 2023
-
Free, publicly-accessible full text available November 1, 2023
-
This paper investigates the global existence of weak solutions for the incompressible
-Navier-Stokes equations in\begin{document}$ p $\end{document} \begin{document}$ \mathbb{R}^d $\end{document} . The\begin{document}$ (2\leq d\leq p) $\end{document} -Navier-Stokes equations are obtained by adding viscosity term to the\begin{document}$ p $\end{document} -Euler equations. The diffusion added is represented by the\begin{document}$ p $\end{document} -Laplacian of velocity and the\begin{document}$ p $\end{document} -Euler equations are derived as the Euler-Lagrange equations for the action represented by the Benamou-Brenier characterization of Wasserstein-\begin{document}$ p $\end{document} distances with constraint density to be characteristic functions.\begin{document}$ p $\end{document}