9 citations · 32 across the 12 of their papers we have counts for
7 papers · 1 filter
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…
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…
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 Westdickenbe…
Mean field limit for one dimensional opinion dynamics with Coulomb interaction and time dependent weights
Immanuel Ben Porat, José A. Carrillo, Sondre T. Galtung
The mean field limit with time dependent weights for a 1D singular case, given by the attractive Coulomb interactions, is considered. This extends recent results [1,8] for the case…
Shock interactions for the Burgers-Hilbert Equation
Alberto Bressan, Sondre T. Galtung, Katrin Grunert +1
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…
Stumpons are non-conservative traveling waves of the Camassa-Holm equation
Sondre Tesdal Galtung, Katrin Grunert
It is well-known that by requiring solutions of the Camassa--Holm equation to satisfy a particular local conservation law for the energy in the weak sense, one obtains what is know…
A semi-discrete scheme derived from variational principles for global conservative solutions of a Camassa-Holm system
Sondre Tesdal Galtung, Xavier Raynaud
We define a kinetic and a potential energy such that the principle of stationary action from Lagrangian mechanics yields a Camassa--Holm system (2CH) as the governing equations. Af…