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This article is cited in 9 scientific papers (total in 9 papers)
Local formulae for the hydrodynamic pressure and applications
P. Constantin Princeton University, Princeton, USA
Abstract:
We provide local formulae for the pressure of incompressible fluids. The pressure can be expressed in terms of its average and averages of squares of velocity increments in arbitrarily small neighbourhoods. As an application, we give a brief proof of the fact that $C^{\alpha}$ velocities have $C^{2\alpha}$ (or Lipschitz) pressures. We also give some regularity criteria for 3D incompressible Navier–Stokes equations.
Bibliography: 9 titles.
Keywords:
Navier–Stokes equations, Euler's equations, pressure, regularity criteria.
Received: 27.10.2013
Citation:
P. Constantin, “Local formulae for the hydrodynamic pressure and applications”, Russian Math. Surveys, 69:3 (2014), 395–418
Linking options:
https://www.mathnet.ru/eng/rm9590https://doi.org/10.1070/RM2014v069n03ABEH004896 https://www.mathnet.ru/eng/rm/v69/i3/p3
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