Blar i NTNU Open på forfatter "Carrillo, José A"

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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 ...

    • A second-order numerical method for the aggregation equations 

      Solem, Susanne; Fjordholm, Ulrik Skre; Carrillo, José A (Peer reviewed; Journal article, 2020)
      Abstract: Inspired by so-called TVD limiter-based second-order schemes for hyperbolic conservation laws, we develop a formally second-order accurate numerical method for multi-dimensional aggregation equations. The method ...