• On the Burgers–Poisson equation 

      Grunert, Katrin; Nguyen, Khai Tien (Journal article, 2016)
      In this paper, we prove the existence and uniqueness of weak entropy solutions to the Burgers-Poisson equation for initial data in L 1 (R). In addition an Oleinik type estimate is established and some criteria on local ...
    • 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 ...