Nonlinear approximation of 3D smectic liquid crystals: sharp lower bound and compactness

Michael Novack, Xiaodong Yan

We consider the 3D smectic energy $$\mathcal{E}_{ε}\left( u\right) =\frac{1}{2}\int_{Ω}\frac{1}{\varepsilon } \left( u_z-\frac{( u_x)^{2}+( u_y)^{2}}{2}\right) ^{2}+\varepsilon \le…