Results 61 to 62 of about 529 (62)

Stress concentration for two nearly touching circular holes [PDF]

arXiv, 2017
We consider the plane elasticity problem for two circular holes. When two holes are close to touching, the stress concentration happens in the narrow gap region. In this paper, we characterize the stress singularity between the two holes by an explicit function.
arxiv  

Gradient estimates for Stokes systems in domains [PDF]

arXiv, 2018
We study the stationary Stokes system with Dini mean oscillation coefficients in a domain having $C^{1,\rm{Dini}}$ boundary. We prove that if $(u, p)$ is a weak solution of the system with zero Dirichlet boundary condition, then $(Du,p)$ is continuous up to the boundary. We also prove a weak type-$(1,1)$ estimate for $(Du, p)$.
arxiv