𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global existence of strong solutions of Navier-Stokes-Poisson equations for one-dimensional isentropic compressible fluids

✍ Scribed by Junping Yin; Zhong Tan

Publisher
Coastal and Estuarine Research Federation
Year
2008
Tongue
English
Weight
248 KB
Volume
29
Category
Article
ISSN
1860-6261

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Global existence of strong solutions of
Global existence of strong solutions of Navier–Stokes equations with non-Newtonian potential for one-dimensional isentropic compressible fluids
✍ Hongzhi Liu; Hongjun Yuan; Jiezeng Qiao; Fanpei Li 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 266 KB

The aim of this paper is to discuss the global existence and uniqueness of strong solution for a class of the isentropic compressible Navier-Stokes equations with non-Newtonian in one-dimensional bounded intervals. We prove two global existence results on strong solutions of the isentropic compressi

Global existence of the radially symmetr
Global existence of the radially symmetric solutions of the Navier–Stokes equations for the isentropic compressible fluids
✍ Hi Jun Choe; Hyunseok Kim 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 223 KB

## Abstract We study the isentropic compressible Navier–Stokes equations with radially symmetric data in an annular domain. We first prove the global existence and regularity results on the radially symmetric __weak solutions__ with non‐negative bounded densities. Then we prove the global existence

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

Global existence and optimal decay rate
Global existence and optimal decay rate for the strong solutions in to the compressible Navier–Stokes equations
✍ Yanjin Wang; Zhong Tan 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 230 KB

We prove the global existence of a unique strong solution to the compressible Navier-Stokes equations when the initial perturbation is small in H 2 . If further that the L 1 norm of initial perturbation is finite, we prove the optimal L 2 decay rates for such a solution and its first-order spatial d