• Characteristic boundary layers for mixed hyperbolic systems in one space dimension and applications to the Navier-Stokes and MHD equations

  Bianchini, Stefano; Spinolo, Laura (SISSA, 2018-10-16)

  We provide a detailed analysis of the boundary layers for mixed hyperbolic-parabolic systems in one space dimension and small amplitude regimes. As an application of our results, we describe the solution of the so-called ...
• On the continuity of the trace operator in GSBV (Ω) and GSBD (Ω)

  Tasso, Emanuele (2018-09)

  In this paper we present a new result of continuity for the trace operator acting on functions that might jump on a prescribed (n−1)-dimensional set Г, with the only hypothesis of being rectifiable and of finite measure. ...
• Non-linear Gross-Pitaevskii dynamics of a 2D binary condensate: a numerical analysis

  Michelangeli, Alessandro; Pitton, Giuseppe (2018-09)

  We present a numerical study of the two-dimensional Gross-Pitaevskii systems in a wide range of relevant regimes of population ratios and intra-species and inter-species interactions. Our numerical method is based on a ...
• On Geometric Quantum Confinement in Grushin-Like Manifolds

  Gallone, Matteo; Michelangeli, Alessandro; Pozzoli, Eugenio (2018-09)

  We study the problem of so-called geometric quantum confinement in a class of two-dimensional incomplete Riemannian manifold with metric of Grushin type. We employ a constant-fibre direct integral scheme, in combination ...
• Hydrogenoid Spectra with Central Perturbations

  Gallone, Matteo; Michelangeli, Alessandro (2018-08)

  Through the Kreĭn-Višik-Birman extension scheme, unlike the previous classical analysis based on von Neumann's theory, we reproduce the construction and classification of all self-adjoint realisations of two intimately ...

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