78 citations · 624 across the 43 of their papers we have counts for
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Variational principles for the interaction of liquid crystals and electric fields in the Oseen--Frank model
Giovanni Di Fratta, Valeriy Slastikov, Arghir Zarnescu
We develop a rigorous variational framework for uniaxial nematic liquid crystals interacting with an external electric field in the one-constant Oseen--Frank approximation. Equilib…
The Ginzburg-Landau system with general potential: maximum principle and gradient estimates
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
We study critical points of the Ginzburg-Landau energy functional $$\mathcal{F}_\varepsilon[u] = \int_Ω\Big[ \frac{1}{2}|\nabla u|^2 + \frac{1}{2\varepsilon^2} W(1 - |u|^2)\Big]\,d…
Optimal skyrmion stability in antisymmetric ultrathin ferromagnetic bilayers
Anne Bernand-Mantel, Valeriy V. Slastikov, Cyrill B. Muratov
We demonstrate the stray-field-mediated skyrmion stabilizing capabilities of ultrathin exchange-decoupled antisymmetric ferromagnetic bilayers based on conventional transition meta…