A representation formula without pressure term is derived for regular solutions to the 3D time-dependent Oseen system in exterior Lipschitz domains. This valid even if no boundary conditions are imposed. It used order exhibit how velocity decays pointwise space. turns out that rate of this decay depends on $$L^p$$ -integrability time velocity. In addition, work basis successor papers dealing wi...

We study Dirichlet boundary control of Stokes flows in 2D polygonal domains. consider cost functionals with two different regularization terms: the $L^2$ norm and an energy space seminorm. prove well-posedness regularity results for both problems, develop finite element discretizations error estimates latter problem. The motivation to problem follows from our analysis: we that choice ${\bm L}^2...

L-selectin (CD62L), a lectin-like adhesion molecule, mediates lymphocyte homing and leukocyte accumulation at sites of inflammation. Its transmembrane (TM) and intracellular (IC) domains confer clustering of L-selectin on microvilli of resting leukocytes, which is important for L-selectin function. Following activation of protein kinase C (PKC) or calmodulin inhibition, the wild-type (WT) prote...

An integral domain $D$ is called a emph{locally GCD domain} if $D_{M}$ is aGCD domain for every maximal ideal $M$ of $D$. We study somering-theoretic properties of locally GCD domains. E.g., we show that $%D$ is a locally GCD domain if and only if $aDcap bD$ is locally principalfor all $0neq a,bin D$, and flat overrings of a locally GCD domain arelocally GCD. We also show that the t-class group...