We study the stationary Stokes and Navier-Stokes equations with nonhomogeneous Navier
boundary conditions in a bounded domain Ω⊂ R 3 of class C 1, 1. We prove the existence …

We prove the convergence of the fixed-point (also called thresholding) algorithm in three
optimal control problems under large volume constraints. This algorithm was introduced by …

We study the stationary Stokes and Navier-Stokes equations with non-homogeneous Navier
boundary condition in a bounded domain $\Omega\subset\mathbb {R}^{3} $ of class …

We prove that the hydrodynamic pressure p associated to the velocity u∈ C θ (Ω), θ∈(0, 1),
of an inviscid incompressible fluid in a bounded and simply connected domain Ω⊂ R d with …

A domain decomposition approach for high‐dimensional random partial differential
equations exploiting the localization of random parameters is presented. To obtain high …

Fluorescent optical tomography (FOT) is a new biomedical imaging method with wider
industrial applications. It is currently intensely researched since it is very precise and with no …

We study the minimisation of a cost functional which measures the misfit on the boundary of
a domain between a component of the solution to a certain parametric elliptic PDE system …

We formulate a generalization of the Laplace equation under Robin boundary conditions on
a large class of possibly nonsmooth domains by dealing with the trace term appearing in the …

Let n≥ 2 and Ω be a bounded Lipschitz domain of R n. In this article, the authors investigate
global (weighted) estimates for the gradient of solutions to Robin boundary value problems …

In this work, we study the very weak solution for the stationary exterior Stokes problem with
Navier slip boundary condition. We try to investigate some results of the existence and the …