Blar i Institutt for matematiske fag på tidsskrift "Communications in Partial Differential Equations"

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    • A Lipschitz metric for the Hunter-Saxton equation 

      Carrillo, José A; Grunert, Katrin; Holden, Helge (Journal article; Peer reviewed, 2019)
      We analyze stability of conservative solutions of the Cauchy problem on the line for the (integrated) Hunter–Saxton (HS) equation. Generically, the solutions of the HS equation develop singularities with steep gradients ...

    • Shock interactions for the Burgers-Hilbert equation 

      Bressan, Alberto; Galtung, Sondre Tesdal; Grunert, Katrin; Nguyen, Khai Tien (Peer reviewed; Journal article, 2022)
      This paper provides an asymptotic description of a solution to the Burgers-Hilbert equation in a neighborhood of a point where two shocks interact. The solution is obtained as the sum of a function with H2 regularity away ...