Arghir Dani Zarnescu

Group Leader

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Information of interest

  • Entire Minimizers of Allen–Cahn Systems with Sub-Quadratic Potentials 

    Alikakos, N.; Gazoulis, D.; Zarnescu, A.Autoridad BCAM (2021-01-01)
    We study entire minimizers of the Allen–Cahn systems. The specific feature of our systems are potentials having a finite number of global minima, with sub-quadratic behaviour locally near their minima. The corresponding ...
  • On a hyperbolic system arising in liquid crystal modelling 

    Feireisl, E.; Rocca, E.; Schimperna, G.; Zarnescu, A.Autoridad BCAM (2017-11)
    We consider a model of liquid crystals, based on a nonlinear hyperbolic system of differential equations, that represents an inviscid version of the model proposed by Qian and Sheng. A new concept of dissipative solution ...
  • On the uniqueness of minimisers of Ginzburg-Landau functionals 

    Ignat, R.; Nguyen, L.; Slastikov, V.; Zarnescu, A.Autoridad BCAM (2020)
    We provide necessary and sufficient conditions for the uniqueness of minimisers of the Ginzburg-Landau functional for Rn-valued maps under a suitable convexity assumption on the potential and for H1=2 \ L1 boundary data ...
  • A phenomenological model for interfacial water near hydrophilic polymers 

    Earls, A.; Calderer, M.-C.; Desroches, M.Autoridad BCAM; Zarnescu, A.Autoridad BCAM; Rodrigues, S.Autoridad BCAM (2022-06-30)
    We propose a minimalist phenomenological model for the ‘interfacial water’ phenomenon that occurs near hydrophilic polymeric surfaces. We achieve this by combining a Ginzburg–Landau approach with Maxwell’s equations which ...
  • A Scaling Limit from the Wave Map to the Heat Flow Into S2 

    Jiang, N.; Luo, Y.-L.; Tang, S.; Zarnescu, A.Autoridad BCAM (2019-07-08)
    In this paper we study a limit connecting a scaled wave map with the heat flow into the unit sphere 𝕊2. We show quantitatively how the two equations are connected by means of an initial layer correction. This limit is ...
  • Topics in the mathematical design of materials 

    Chen, X.; Fonseca, I.; Ravnik, M.; Slastikov, V.; Zannoni, C.; Zarnescu, A.Autoridad BCAM (2021-01-01)
    We present a perspective on several current research directions relevant to the mathematical design of new materials. We discuss: (i) design problems for phase-transforming and shape-morphing materials, (ii) epitaxy as an ...
  • Weak sequential stability for a nonlinear model of nematic electrolytes 

    Fereisl, E.; Rocca, E.; Schimperna, G.; Zarnescu, A.Autoridad BCAM (2021-01-01)
    In this article we study a system of nonlinear PDEs modelling the electrokinetics of a nematic electrolyte material consisting of various ions species contained in a nematic liquid crystal. The evolution is described by a ...

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