Abstract
We provide local formulae for the pressure of incompressible fuids. 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 Cα velocities have C 2α (or Lipschitz) pressures. We also give some regularity criteria for 3D incompressible Navier-Stokes equations.
Original language | English (US) |
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Pages (from-to) | 395-418 |
Number of pages | 24 |
Journal | Russian Mathematical Surveys |
Volume | 69 |
Issue number | 3 |
DOIs | |
State | Published - 2014 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- Euler's equations
- Navier-Stokes equations
- Pressure
- Regularity criteria