𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Inversion of a singularity of the Navier-Stokes equations

✍ Scribed by Yu.D. Shmyglevskii

Publisher
Elsevier Science
Year
1988
Weight
202 KB
Volume
28
Category
Article
ISSN
0041-5553

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the Singular Set in the Navier–Stokes
On the Singular Set in the Navier–Stokes Equations
✍ Hi Jun Choe; John L. Lewis 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 168 KB

We consider suitably weak solutions (u, p) to the incompressible Navier Stokes equations and under various assumptions on u obtain estimates for the size of its singular set. One of our results improves a well known theorem of Caffarelli, Kohn, and Nirenberg.

On Possible Singular Solutions to the Na
On Possible Singular Solutions to the Navier — Stokes Equations
✍ Josef Málek; Jindřich Nečas; Milan Pokorný; Maria E. Schonbek 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 653 KB

## Abstract In this paper, we exclude the possibility of existence of a singular solution of the selfsimilar type proposed by Jean Leray More precisely, using a slightly stronger hypothesis we give a simpler proof to the analogous result established by J. Nečas, M. Rúžička and V. Šverák. We also di

On the number of singular points of weak
On the number of singular points of weak solutions to the Navier-Stokes equations
✍ Gregory A. Seregin 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 71 KB 👁 2 views

## Abstract We consider a suitable weak solution to the three‐dimensional Navier‐Stokes equations in the space‐time cylinder Ω × ]0, __T__[. Let Σ be the set of singular points for this solution and Σ (__t__) ≡ {(__x, t__) ∈ Σ}. For a given open subset ω ⊆ Ω and for a given moment of time __t__ ∈]0

The Immersed Interface Method for the Na
The Immersed Interface Method for the Navier–Stokes Equations with Singular Forces
✍ Zhilin Li; Ming-Chih Lai 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 225 KB

Peskin's Immersed Boundary Method has been widely used for simulating many fluid mechanics and biology problems. One of the essential components of the method is the usage of certain discrete delta functions to deal with singular forces along one or several interfaces in the fluid domain. However, t