Blar i Institutt for matematiske fag på tidsskrift "SN Partial Differential Equations and Applications (SN PDE)"

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    • A regularized system for the nonlinear variational wave equation 

      Grunert, Katrin; Reigstad, Audun (Peer reviewed; Journal article, 2023)
      We present a new generalization of the nonlinear variational wave equation. We prove existence of local, smooth solutions for this system. As a limiting case, we recover the nonlinear variational wave equation.

    • Traveling waves for the nonlinear variational wave equation 

      Grunert, Katrin; Reigstad, Audun (Peer reviewed; Journal article, 2021)
      We study traveling wave solutions of the nonlinear variational wave equation. In particular, we show how to obtain global, bounded, weak traveling wave solutions from local, classical ones. The resulting waves consist of ...