@inproceedings{Mller2008TheUK, title={The Uniform Korn-poincar{\'e} Inequality in Thin Domains}, author={Stefan M{\"u}ller}, year={2008} }

- Published 2008

We study the Korn-Poincaré inequality: ‖u‖ W1,2(Sh) ≤ Ch‖D(u)‖L2(Sh), in domains S that are shells of small thickness of order h, around an arbitrary smooth and closed hypersurface S in R. By D(u) we denote the symmetric part of the gradient ∇u, and we assume the tangential boundary conditions: u · ~n = 0 on ∂S. We prove that Ch remains uniformly bounded as h → 0, for vector fields u in any family of cones (with angle < π/2, uniform in h) around the orthogonal complement of extensions of… CONTINUE READING

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