5 problems

Exact Gamma-limit conjecture. If $\Omega$ is simply connected, then the linearized Kirchhoff-like energy $\mathcal{J}_{v_0}$ subject to the constraint…

Shape-imperfection conjecture. An imperfection of shape can be mathematically described by such a tensor $\boldsymbol{\tau}^{0}$. This conjecture proposes a mathematical descriptio…

Load-imperfection conjecture. Imperfections of load can produce a non-homogeneous trivial branch leading to this form of $\boldsymbol{\tau}^{0}$ and hence to a dramatic change in t…

A circular cylindrical shell under uniform axial compression has three asymptotic buckling loads, of which the largest is realized in the perfect shell; the other two are significa…

Let a multi-wall carbon nanotube (MWCNT) be a nanotube composed of multiple adjacent walls. Its thickness may change under applied loads, with adjacent walls interacting through va…