Abstract
We consider complex-valued solutions of the three-dimensional Navier-Stokes system without external forcing on ℝ3. We show that there exists an open set in the space of 10-parameter families of initial conditions such that for each family from this set there are values of parameters for which the solution develops blow up in finite time.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 267-313 |
| Number of pages | 47 |
| Journal | Journal of the European Mathematical Society |
| Volume | 10 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2008 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics
Keywords
- Fixed point
- Hermite polynomials
- Linearization near a fixed point
- Navier-Stokes system
- Renormalization group theory
- Spectrum of the linearized group
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