Panayotis Smyrnelis

activity

20112025

most citedSymmetry breaking and restoration in the Ginzburg-Landau model of nematic liquid crystals

9 citations · 20 across the 17 of their papers we have counts for

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Showing 2014Show all

2 papers · 1 filter

math.AP2014

Multyphase solutions to the vector Allen-Cahn equation: Crystalline and other complex symmetric structures

Peter W. Bates, Giorgio Fusco, Panayotis Smyrnelis

We present a systematic study of entire symmetric solutions $u : R^{n} \to R^{m}$ of the vector Allen-Cahn equation $Δ u - W_{u} (u) = 0, x \in R^{n}$ , where $W : R^{m} \to R$ is smooth,…

math.AP2014

Gradient estimates for semilinear elliptic systems and other related results

Panayotis Smyrnelis

A periodic connection is constructed for a double well potential defined in the plane. This solution violates Modica's estimate as well as the corresponding Liouville Theorem for g…