3 papers
math.AP2016
Korn inequalities for shells with zero Gaussian curvature
Yury Grabovsky, Davit Harutyunyan
We consider shells with zero Gaussian curvature, namely shells with one principal curvature zero and the other one having a constant sign. Our particular interests are shells that…
math.AP2013
Rigorous asymptotic analysis of buckling of thin-walled cylinders under axial compression
Yury Grabovsky, Davit Harutyunyan
Using rigorous constitutive linearization of second variation introduced in [6] we study weak stability of homogeneous deformation of the axially compressed circular cylindrical sh…
math.FA2003
Differentiability of functions of matrices
Yury Grabovsky, Omar Hijab, Igor Rivin
Given a function on diagonal matrices, there is a unique way to extend this to an invariant (by conjugation) function on symmetric matrices. We show that the extension preserves re…