Stokes and Navier–Stokes equations with Navier boundary condition
Sign Up to like & getrecommendations! Published in 2019 at "Comptes Rendus Mathematique"
DOI: 10.1016/j.crma.2018.12.002
Abstract: 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 $\mathcal{C}^{1,1}$. We prove existence, uniqueness of weak and strong solutions in $\mathbf{W}^{1,p}(\Omega)$ and $\mathbf{W}^{2,p}(\Omega)$ for… read more here.
Keywords: boundary condition; stokes equations; stokes navier; navier stokes ... See more keywords
Topological sensitivity analysis for identification of voids under Navier’s boundary conditions in linear elasticity
Sign Up to like & getrecommendations! Published in 2019 at "Inverse Problems"
DOI: 10.1088/1361-6420/ab2c91
Abstract: This article is concerned with a geometric inverse problem related to the twodimensional linear elasticity system. Thereby, voids under Navier’s boundary conditions are reconstructed from the knowledge of partially over-determined boundary data. The proposed approach… read more here.
Keywords: voids navier; linear elasticity; topological sensitivity; boundary conditions ... See more keywords