• A 2-dimensional shape optimization problem for tree branches 

      Bressan, Alberto; Galtung, Sondre Tesdal (Peer reviewed; Journal article, 2020)
      The paper is concerned with a shape optimization problem, where the functional to be maximized describes the total sunlight collected by a distribution of tree leaves, minus the cost for transporting water and nutrient ...
    • Competition models for plant stems 

      Bressan, Alberto; Galtung, Sondre Tesdal; Reigstad, Audun; Ridder, Johanna (Peer reviewed; Journal article, 2020)
      The models introduced in this paper describe a uniform distribution of plant stems competing for sunlight. The shape of each stem, and the density of leaves, are designed in order to maximize the captured sunlight, subject ...
    • Optimal shapes for tree roots 

      Bressan, Alberto; Galtung, Sondre Tesdal; Sun, Qing (Journal article, 2022)
      The paper studies a class of variational problems, modeling optimal shapes for tree roots. Given a measure μ describing the distribution of root hair cells, we seek to maximize a harvest functional H , computing the ...
    • 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 ...