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Local formulae for the hydrodynamic pressure and applications

Author(s): Constantin, Peter

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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 α velocities have C 2 α (or Lipschitz) pressures. We also give some regularity criteria for 3D incompressible Navier–Stokes equations.
Publication Date: 2014
Electronic Publication Date: 2014
Citation: Constantin, P. (2014). Local formulae for the hydrodynamic pressure and applications. RUSSIAN MATHEMATICAL SURVEYS, 69 (395 - 418. doi:10.1070/RM2014v069n03ABEH004896
DOI: doi:10.1070/RM2014v069n03ABEH004896
ISSN: 0036-0279
EISSN: 1468-4829
Pages: 395 - 418
Type of Material: Journal Article
Version: Author's manuscript

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