𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Compactness, Domain Dependence and Existence of Steady State Solutions to Compressible Isothermal Navier–Stokes Equations

✍ Scribed by P. I. Plotnikov; J. Sokolowski

Publisher
Springer
Year
2005
Tongue
English
Weight
360 KB
Volume
7
Category
Article
ISSN
1422-6928

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the domain dependence of solutions to
On the domain dependence of solutions to the compressible Navier–Stokes equations of a barotropic fluid
✍ Eduard Feireisl; Antonín Novotný; Hana Petzeltová 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 201 KB 👁 2 views

## Abstract We prove a general compactness result for the solution set of the compressible Navier–Stokes equations with respect to the variation of the underlying spatial domain. Among various corollaries, we then prove a general existence theorem for the system in question with no restrictions on

On the domain dependence of solutions to
On the domain dependence of solutions to the Navier–Stokes equations of a two-dimensional compressible flow
✍ Fei Jiang; Zhong Tan 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 145 KB 👁 2 views

## Abstract We consider the Navier–Stokes equations for compressible, barotropic flow in two space dimensions, with pressure satisfying __p__(ϱ)=__a__ϱlog^__d__^(ϱ) for large ϱ, here __d__>1 and __a__>0. After introducing useful tools from the theory of Orlicz spaces, we prove a compactness result

On the existence of solutions to the Nav
On the existence of solutions to the Navier–Stokes equations of a two-dimensional compressible flow
✍ Radek Erban 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 218 KB 👁 2 views

## Abstract We consider the Navier–Stokes equations for compressible, barotropic flow in two space dimensions. We introduce useful tools from the theory of Orlicz spaces. Then we prove the existence of globally defined finite energy weak solutions for the pressure satisfying __p__(__ϱ__) = __aϱ__lo

On the existence of solutions to the Nav
On the existence of solutions to the Navier–Stokes–Poisson equations of a two-dimensional compressible flow
✍ Yinghui Zhang; Zhong Tan 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 216 KB 👁 1 views

## Abstract In this paper, we consider the Navier–Stokes–Poisson equations for compressible, barotropic flow in two space dimensions. We introduce useful tools from the theory of Orlicz spaces. Then we prove the existence of globally defined finite energy weak solutions for the pressure satisfying