4 problems

Let $h\to0$ be the film-thickness parameter, let $\alpha$ and $\gamma$ be the exponents specifying the prestrain regime, and let cases (i), (ii), and (iii) denote the corresponding…

Conjecture on removing the zero mean requirement. The zero mean requirement on $\mathcal{G}_1$ can be removed altogether. This would extend the dimension-reduction theory for thin…

A nematic liquid crystal is described by a tensorial order parameter $Q$, known as a Q-tensor, rather than by a director field. Consider nematic point defects in the vicinity of mo…

Three-dimensional vectorial Gamma-limit conjecture. If $\boldsymbol u\in L^2(\mathcal{O};\mathbb{R}^3)$ and…