Properties at potential blow-up times for Navier-Stokes | Zendy

Paulo R. Zingano | Zendy; Jens Lorenz | Zendy

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Properties at potential blow-up times for Navier-Stokes

Author(s) -

Paulo R. Zingano,

Jens Lorenz

Publication year - 2016

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.v35i2.27508

Subject(s) - infinity , gravitational singularity , interval (graph theory) , mathematics , compressibility , navier–stokes equations , mathematical analysis , cauchy problem , initial value problem , physics , mechanics , combinatorics

In this paper we consider the Cauchy problem for the 3D navier-Stokes equations for incompressible flows. The initial data are assume d to be smooth and rapidly decaying at infinity. A famous open problem is whether classical solution can develop singularities in finite time. Assuming the maximal interval of existence to be finite, we give a unified discussion of various known solution properties as time approaches the blow-up time

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