6 citations · 9 across the 9 of their papers we have counts for
Showing 2021Show all
2 papers · 1 filter
math.AP2021
Least Wasserstein distance between disjoint shapes with perimeter regularization
Michael Novack, Ihsan Topaloglu, Raghavendra Venkatraman
We prove the existence of global minimizers to the double minimization problem \[ \inf\Big\{ P(E) + λW_p(\mathcal{L}^n \lfloor \, E,\mathcal{L}^n \lfloor\, F) \colon |E \cap F| = 0…
math.AP2021
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…