Arghir Dani Zarnescu

Group Leader. Ikerbasque Research Professor

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F +34 946 567 842

Information of interest

My research focuses on the analytical study of fundamental models from condensed matter physics. After graduating from the University of Chicago, under the supervision of Prof. Peter Constantin, with a thesis on polymeric fluids, I moved to Oxford, for 5 years, working under the mentorship of Prof. John M. Ball, on variational theories of liquid crystals. After that I moved away from Oxford, and developed my independent directions of research, while at the University of Sussex, as a lecturer, for 5 years. Since 2016 I have been working as an Ikerbasque Research Professor in  BCAM, as a research-leader of the Applied Analysis, while also holding a part-time position at the "Simion Stoilow" Institute of Mathematics, in Bucharest, Romania.

  • Uniform profile near the point defect of Landau-de Gennes model 

    Geng, Z.Autoridad BCAM; Zarnescu, A.Autoridad BCAM (2022-11-04)
    For the Landau-de Gennes functional on 3D domains, $$ I_\varepsilon(Q,\Omega):=\int_{\Omega}\left\{\frac12|\nabla Q|^2+\frac{1}{\varepsilon^2}\left( -\frac{a^2}{2}\mathrm{tr}(Q^2)-\frac{b^2}{3}\mathrm{tr}(Q^3)+\frac{c^ ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 ...
  • 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 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 ...
  • 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 ...

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