The purpose of this paper is to show well-posedness results for Dirichlet problems for the
Stokes and Navier–Stokes systems with L^ ∞ L∞-variable coefficients in L^ 2 L 2-based …

For a generalized Brinkman–Forchheimer's equation under divergence-free and mixed
boundary conditions, the stationary equilibrium problem and the inverse problem of shape …

The purpose of this paper is to study boundary value problems of transmission type for the
Navier–Stokes and Darcy–Forchheimer–Brinkman systems in two complementary Lipschitz …

We obtain well-posedness results in L p-based weighted Sobolev spaces for a transmission
problem for anisotropic Stokes and Navier–Stokes systems with L∞ strongly elliptic …

The aim of this paper is to develop a layer potential theory in L 2‐based weighted Sobolev
spaces on Lipschitz bounded and exterior domains of ℝ n, n≥ 3, for the anisotropic Stokes …

This paper is devoted to the well-posedness of a novel nonlinear interface problem on an
unbounded domain with nonmonotone set-valued transmission conditions. This interface …

The first aim of this paper is to show well-posedness of Dirichlet and transmission problems
in bounded and exterior Lipschitz domains in R n, n≥ 3, for the anisotropic Stokes system …

Two direct systems of Boundary-Domain Integral Equations, BDIEs, associated with a mixed
boundary value problem for the stationary compressible Stokes system with variable …

This paper studies the mixed problems for the Brinkman system in H s (Ω; R m)× H s− 1 (Ω)
with 1≤ s≤ 2. Here Ω⊂ R m is a bounded domain with Lipschitz boundary (not necessarily …

In this paper we are concerned with both theoretical and numerical study of a Dirichlet
boundary value problem for the nonlinear Darcy-Forchheimer-Brinkman system on a …