Auflistung nach Schlagwort "well-posedness"

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  • Analysis of a soap film catenoid driven by an electrostatic force 
    Schmitz, Lina Sophie (Hannover : Institutionelles Repositorium der Leibniz Universität Hannover, 2024)
    The interplay between surface tension and electrostatics is the underlying mechanism of many processes taking place on small length-scales. There are various examples in nature and technology, including the whole field of ...
  • The Mullins–Sekerka problem via the method of potentials 
    Escher, Joachim; Matioc, Anca‐Voichita; Matioc, Bogdan‐Vasile (Weinheim : Wiley-VCH, 2024)
    It is shown that the two-dimensional Mullins–Sekerka problem is well-posed in all subcritical Sobolev spaces Hr (R) with r ϵ (3/2,2). This is the first result, where this issue is established in an unbounded geometry. The ...
  • On a three-dimensional model for MEMS with hinged boundary conditions 
    Nik, Katerina (Hannover : Institutionelles Repositorium der Leibniz Universität Hannover, 2020)
    We study a free boundary problem arising from the modeling of an idealized electrostatically actuated MEMS device. In contrast to existing literature, we consider a three-dimensional device involving a hinged elastic plate. ...