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We provide a direct and explicit proof that imaginary (real) normalized differentials of the second kind with prescribed polar part do not develop additional singularities as the underlying hyperelliptic Riemann surface degenerates in an arbitrary way.
We study a functional, whose critical points couple Dirac-harmonic maps from surfaces with a two form. The critical points can be interpreted as coupling the prescribed mean curvature equation to spinor fields. On the other hand, this functional also arises as part of the supersymmetric sigma...
We describe explicitly the dispersion relations and spectra of periodic Schrödinger operators on a graphyne nanotube structure.
We investigate a mathematical model describing the process of interface formation or disappearance. The model was originally introduced to remove the singularities that arise when classical hydrodynamics is applied to describe certain flows. The problem is formulated as a free boundary problem...
We study the geometry of real analytic second order ODEs under the local real analytic diffeomorphism of
which are area preserving, through the method of Cartan. We obtain a subdivision into three “parts”. The first one is the most symmetric case. It is...
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