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An integral operator related to the stokes system in exterior domains


Publisher
John Wiley and Sons
Year
1991
Tongue
English
Weight
32 KB
Volume
14
Category
Article
ISSN
0170-4214

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πŸ“œ SIMILAR VOLUMES


An integral operator related to the Stok
✍ Paul Deuring πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 488 KB

## Abstract Consider a bounded domain Ξ© in ℝ^3^ with __C__^2^‐boundary βˆ‚Ξ©. In [1] the Stokes problem in the exterior domain ℝ^3^/Ξ©, with resolvent parameter [λϡℂ\] βˆ’ [∞,0], is solved by using the method of integral equations. However, for estimating the corresponding solutions in __L__^__p__^ norms

Finite Element Methods for the Stokes Sy
✍ Paul Deuring πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 373 KB πŸ‘ 2 views

The article treats the question of how to numerically solve the Dirichlet problem for the Stokes system in the exterior of a three-dimensional bounded Lipschitz domain. In a first step, the solution of this problem is approximated by functions solving the Stokes system in a truncated domain and sati

The Dirichlet problem for Stokes equatio
✍ V. Kirvalidze πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 138 KB πŸ‘ 2 views

The paper deals with the Dirichlet problem for the Stokes linear equation in a domain exterior to an open surface. With the help of the theory of boundary integral (pseudo-differential) equations uniqueness and existence theorems are proved in the Bessel-potential and Besov spaces and C?-smoothness

On the spectra of some integral operator
✍ Oleg F. Gerus; Vladimir N. Kutrunov; Michael Shapiro πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 124 KB πŸ‘ 1 views

## Communicated by W. Sprâßig We study point spectra of the two integral operators that are generated by the boundary values of the simple-layer potential and of the integral tightly related to the double-layer potential; the operators act on the Hâlder space H l (C), l ∈ (0, 1), and on the Lebesg