MAEKAWA, Yasunori; MIURA, Hideyuki; PRANGE, Christophe

doi:10.1007/s00021-019-0450-5

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MAEKAWA, Yasunori
Department of Mathematics, Graduate School of Science

MIURA, Hideyuki
Tokyo Institute of Technology [Tokyo] [TITECH]

PRANGE, Christophe
Institut de Mathématiques de Bordeaux [IMB]

Idioma

Article de revue

Este ítem está publicado en

Journal of Mathematical Fluid Mechanics. 2019, vol. 21, p. 46

Springer Verlag

Resumen en inglés

We study the three-dimensional Navier–Stokes equations in the presence of the axisymmetric linear strain, where the strain rate depends on time in a specific manner. It is known that the system admits solutions which blow up in finite time and whose profiles are in a backward self-similar form of the familiar Burgers vortices. In this paper it is shown that the existing stability theory of the Burgers vortex leads to the stability of these blow-up solutions as well. The secondary blow-up is also observed when the strain rate is relatively weak.< Leer menos

Palabras clave en inglés

Navier-Stokes equations

blow-up solutions

Burgers vortex

stability

backward self-similarity

URI

https://oskar-bordeaux.fr/handle/20.500.12278/190360

DOI

http://dx.doi.org/10.1007/s00021-019-0450-5

Proyecto ANR

Bords, oscillations et couches limites dans les systèmes différentiels - ANR-16-CE40-0027

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251