Boundary Characteristic Point Regularity for Navier-Stokes Equations: Blow-up Scaling and Petrovskii-type Criterion (a Formal Approach)

Details Boundary Characteristic Point Regularity for Navier-Stokes Equations: Blow-up Scaling and Petrovskii-type Criterion (a Formal Approach) Boundary Characteristic Point Regularity for Navier-Stokes Equations: Blow-up Scaling and Petrovskii-type Criterion (a Formal Approach)

2011-07-14

arxiv.org/abs/1107.2790v1

Mathematics

Analysis of PDEs

35 pages

Scientific paper

It is shown that Wiener's regularity of the vertex of a backward paraboloid
for 3D Navier-Stokes equations with zero Dirichlet conditions on the paraboloid
boundary is given by Petrovskii's criterion for the heat equation (1934), i.e.,
the nonlinear convection term does not affect the regularity result.

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