Blar i NTNU Open på forfatter "Nguyen, Khai Tien"
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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 ...