3 papers
math.AP2025
Equivalence of entropy solutions and gradient flows for pressureless 1D Euler systems
José Antonio Carrillo, Sondre Tesdal Galtung
We study distributional solutions of pressureless Euler systems on the line. In particular we show that Lagrangian solutions, introduced by Brenier, Gangbo, Savaré and Westdickenb…
math.AP2025
Wave breaking for the nonlinear variational wave equation
Sondre Tesdal Galtung, Katrin Grunert
Following conservative solutions of the nonlinear variational wave equation along forward and backward characteristics, we identify criteria, which guara…
math.AP2024
The sticky particle dynamics of the 1D pressureless Euler-alignment system as a gradient flow
Sondre Tesdal Galtung
We show how the sticky dynamics for the one-dimensional pressureless Euler-alignment system can be obtained as an -gradient flow of a convex functional. This is analogous to t…