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• #### Partial regularity and smooth topology-preserving approximations of rough domains ﻿

(Calculus of Variations and Partial Differential Equations, 2017-01-01)
For a bounded domain $\Omega\subset\mathbb{R}^m, m\geq 2,$ of class $C^0$, the properties are studied of fields of `good directions', that is the directions with respect to which $\partial\Omega$ can be locally represented ...
• #### Liquid crystal defects in the Landau–de Gennes theory in two dimensions — Beyond the one-constant approximation ﻿

(Mathematical Models and Methods in Applied Sciences, 2016-12-31)
We consider the two-dimensional Landau-de Gennes energy with several elastic constants, subject to general $k$-radially symmetric boundary conditions. We show that for generic elastic constants the critical points consistent ...
• #### Enhancing sampling in atomistic simulations of solid state materials for batteries: a focus on olivine NaFePO4 ﻿

(arXiv.org, 2016-12-25)
The study of ion transport in electrochemically active materials for energy storage systems requires simulations on quantum- atomistic- and meso-scales. The methods accessing these scales not only have to be effective but ...
• #### Multi-objective Optimization of Orbit Transfer Trajectory Using Imperialist Competitive Algorithm ﻿

(IEEE Aerospace Conference, 2017-03-04)
This paper proposes a systematic direct approach to carry out effective multi-objective optimization of space orbit transfer with high-level thrust acceleration. The objective is to provide a transfer trajectory with ...
• #### Homogeneous singularity and the Alexander polynomial of a projective plane curve ﻿

(2017-12-10)
The Alexander polynomial of a plane curve is an important invariant in global theories on curves. However, it seems that this invariant and even a much stronger one the fundamental group of the complement of a plane curve ...