Abstract:
This paper investigates the global existence of weak solutions for the incompressible p-Navier-Stokes equations in Rd (2 ≤ d ≤ p). The pNavier-Stokes equations are obtained by adding viscosity term to the p-Euler equations. The diffusion added is represented by the p-Laplacian of velocity and the p-Euler equations are derived as the Euler-Lagrange equations for the action represented by the Benamou-Brenier characterization of Wasserstein-p distances with constraint density to be characteristic functions.
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