Blow ups of complex solutions of the 3D Navier–Stokes system and renormalization group method | Zendy

Dong Li | Zendy; Yakov G. Sinai | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Blow ups of complex solutions of the 3D Navier–Stokes system and renormalization group method

Author(s) -

Dong Li,

Yakov G. Sinai

Publication year - 2008

Publication title -

journal of the european mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.549

H-Index - 64

eISSN - 1435-9863

pISSN - 1435-9855

DOI - 10.4171/jems/111

Subject(s) - mathematics , renormalization group , group (periodic table) , navier–stokes equations , pure mathematics , mathematical physics , mathematical analysis , compressibility , mechanics , physics , quantum mechanics

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research