𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the asymptotic stability of steady solutions of the Navier–Stokes equations in unbounded domains

✍ Scribed by Francesca Crispo; Alfonsina Tartaglione

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
234 KB
Volume
30
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We consider the problem of the asymptotic behaviour in the L^2^‐norm of solutions of the Navier–Stokes equations. We consider perturbations to the rest state and to stationary motions. In both cases we study the initial‐boundary value problem in unbounded domains with non‐compact boundary. In particular, we deal with domains with varying and possibly divergent exits to infinity and aperture domains. Copyright © 2007 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Asymptotic Stability of Large Solutions
Asymptotic Stability of Large Solutions with Large Perturbation to the Navier–Stokes Equations
✍ Hideo Kozono 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 265 KB

dedicated to professor hermann sohr on the occasion of his 60th birthday Consider weak solutions w of the Navier Stokes equations in Serrin's class w # L : (0, ; L q (0)) for 2Â:+3Âq=1 with 3<q , where 0 is a general unbounded domain in R 3 . We shall show that although the initial and external di

Stability of weak solutions to the compr
Stability of weak solutions to the compressible Navier–Stokes equations in bounded annular domains
✍ Jishan Fan; Hongjun Gao 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 143 KB

## Abstract We prove the Lipschitz continuous dependence on initial data of global spherically symmetric weak solutions to the Navier–Stokes equations of a viscous polytropic ideal gas in bounded annular domains with the initial data in the Lebesgue spaces. Copyright © 2007 John Wiley & Sons, Ltd.

Smooth Solution of the Compressible Navi
Smooth Solution of the Compressible Navier–Stokes Equations in an Unbounded Domain with Inflow Boundary Condition
✍ Jae Ryong Kweon; R.Bruce Kellogg 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 213 KB

The barotropic compressible Navier᎐Stokes equations in an unbounded domain Ž . Ž . are studied. We prove the unique existence of the solution u, p of the system 1.1 in the Sobolev space H kq 3 = H kq 2 provided that the derivatives of the data of the problem are sufficiently small, where k G 0 is an