Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

New regularity results for a generic model equation in exterior 3D domains

100%

Kračmar S., Penel P.

Banach Center Publications

2005

tom 70

nr 1

139-155

We consider a generic scalar model for the Oseen equations in an exterior three-dimensional domain. We assume the case of a non-constant coefficient function. Using a variational approach we prove new regularity properties of a weak solution whose existence and uniqueness in anisotropically weighted Sobolev spaces were proved in [10]. Because we use some facts and technical tools proved in the above mentioned paper, we give also a brief review of its results and methods.

$L^q$-approach to weak solutions of the Oseen flow around a rotating body

81%

Kračmar S., Nečasová Š., Penel P.

Banach Center Publications

2008

tom 81

nr 1

259-276

We consider the time-periodic Oseen flow around a rotating body in ℝ³. We prove a priori estimates in $L^{q}$-spaces of weak solutions for the whole space problem under the assumption that the right-hand side has the divergence form. After a time-dependent change of coordinates the problem is reduced to a stationary Oseen equation with the additional term -(ω ∧ x)·∇u + ω ∧ u in the equation of momentum where ω denotes the angular velocity. We prove the existence of generalized weak solutions in $L^{q}$-space using Littlewood-Paley decomposition and maximal operators.

Ograniczanie wyników

2 Banach Center Publications

2 Kračmar S.

2 Penel P.

1 Nečasová Š.

1 2008

1 2005

Wyniki wyszukiwania

New regularity results for a generic model equation in exterior 3D domains

$L^q$-approach to weak solutions of the Oseen flow around a rotating body