Blar i Department of Mathematics på forfatter "Selberg, Sigmund"

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    • Dispersive Estimates for Full Dispersion KP Equations 

      Selberg, Sigmund; Pilod, Didier Jacques Francois; Saut, Jean-Claude; Temesgen, Achenef Tesfahun (Journal article; Peer reviewed, 2021)
      We prove several dispersive estimates for the linear part of the Full Dispersion Kadomtsev–Petviashvili introduced by David Lannes to overcome some shortcomings of the classical Kadomtsev–Petviashvili equations. The proof ...

    • Ill-posedness of the Maxwell–Dirac system below charge in space dimension three and lower 

      Selberg, Sigmund; Tesfahun, Achenef (Journal article; Peer reviewed, 2021)
      The Maxwell–Dirac system describes the interaction of an electron with its self-induced electromagnetic field. In space dimension d=3 the system is charge-critical, that is, L2-critical for the spinor with respect to ...

    • Well-Posedness for a Dispersive System of the Whitham-Boussinesq Type 

      Dinvay, Evgueni; Selberg, Sigmund; Tesfahun, Achenef (Journal article; Peer reviewed, 2020)
      We regard the Cauchy problem for a particular Whitham--Boussinesq system modeling surface waves of an inviscid incompressible fluid layer. We are interested in well-posedness at a very low level of regularity. We derive ...