Browsing NTNU Open by Author "Bressan, Alberto"
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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 ...