𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Elliptic boundary value problems of fluid dynamics over unbounded domains

✍ Scribed by P. Cerejeiras; U. Kähler

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
164 KB
Volume
23
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we develop a Cli!ord operator calculus over unbounded domains whose complement contains a non-empty open set by using add-on terms to the Cauchy kernel. Using the knowledge about the Poisson equation allows us to prove a direct decomposition of the space L O ( ), which will be applied to solve the linear Stokes problem in scales of WI O ( )-spaces over this kind of unbounded domains. This result will be used to investigate the Navier}Stokes equations by means of a Banach contraction principle. In the end, steady solutions of stream problems with free convection will be studied.

📜 SIMILAR VOLUMES

The weighted Ritz-Galerkin method for el
The weighted Ritz-Galerkin method for elliptic boundary value problems on unbounded domains
✍ Hae-Soo Oh; Bongsoo Jang; Yichung Jou 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 211 KB

## Abstract Recently Babus̆ka‐Oh introduced the method of auxiliary mapping (MAM) which efficiently handles elliptic boundary value problems containing singularities. In this paper, a special weighted residue method, the Weighted Ritz‐Galerkin Method (WRGM), is investigated by introducing special w

Finite element solutions for three-dimen
Finite element solutions for three-dimensional elliptic boundary value problems on unbounded domains
✍ Hae-Soo Oh; Jae-Heon Yun; Bong Soo Jang 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 228 KB 👁 1 views

The finite element (FE) solutions of a general elliptic equation -div([a ij ] • ∇u) + u = f in an exterior domain , which is the complement of a bounded subset of R 3 , is considered. The most common approach to deal with exterior domain problems is truncating an unbounded subdomain ∞ , so that the