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Steady Stokes Flow in Exterior Domains
1994In this chapter we shall analyse the Stokes problem in an exterior domain. Specifically, assuming that the region of flow Ω is a domain coinciding with the complement of a compact region (not necessarily connected) we wish to establish existence, uniqueness, and the validity of corresponding estimates for the velocity field v and the pressure field p ...
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S-shaped bifurcation diagrams in exterior domains
Positivity, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chhetri, Maya +2 more
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ON THE OSEEN PROBLEM IN THREE-DIMENSIONAL EXTERIOR DOMAINS
Analysis and Applications, 2006In this paper, we prove existence and uniqueness results for the Oseen problem in exterior domains of ℝ3. To prescribe the growth or decay of functions at infinity, we set the problem in weighted Sobolev spaces. The analysis relies on a Lp-theory for any real p such that 1 < p < ∞.
Amrouche, Chérif, Razafison, Ulrich
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Boundary Stabilization of Stokes System in Exterior Domains
Journal of Mathematical Fluid Mechanics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the critical Neumann problem with weight in exterior domains
Nonlinear Analysis: Theory, Methods & Applications, 2003Let \(\Omega\subset\mathbb R^n\) be a bounded domain with a smooth boundary \(\partial\Omega\) and set \(\Omega^c=\mathbb R^N\setminus \overline{\Omega}\). Here, the authors study the nonlinear Neumann problem \[ -\Delta u+\lambda u= Q(x)|u|^{2^*-2}u \quad\text{in }\Omega^c,\quad u>0, \qquad \frac{\partial u}{\partial\nu}=0 \quad\text{on }\partial ...
Chabrowski, J. H., Ruf, B.
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The properties of the solutions of the incompressible flows on an exterior domain
Applied Mathematics Letters, 2018Abstract In this paper, we want to see the properties of the smooth solutions u of the incompressible flows on an exterior domain Ω of R 2 . Specially, when the vorticity ω = ∇ × u has a bounded support, with suitable conditions we will show that there exists a constant C ( p , q ) such that ∥ u ∥
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THE STOKES OPERATOR WITH ROTATION EFFECT IN EXTERIOR DOMAINS
Analysis, 1999The paper is a step to the mathematical analysis of the Navier-Stokes flow past a rotating obstacle. Let \(K\subset \mathbb{R}^3\) be a compact, isolated and rigid obstacle with smooth boundary \(\Gamma\), \(\Omega=\mathbb{R}^3\setminus K\) the exterior domain occupied by a viscous imcompressible fluid.
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Strong Solutions for Ferrofluid Equations in Exterior Domains
Acta Applicandae Mathematicae, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An interpolation inequality in exterior domains
2004The authors obtain analogues of the Gagliardo-Nirenberg interpolation inequality over exterior domains with compact boundary having the cone property.
CRISPO, Francesca, MAREMONTI, Paolo
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