14 citations · 30 across the 6 of their papers we have counts for
6 papers
A Convergent Numerical Algorithm for -Dissipative Solutions of the Hunter-Saxton Equation
Thomas Christiansen, Katrin Grunert, Anders Nordli +1
A convergent numerical method for -dissipative solutions of the Hunter-Saxton equation is derived. The method is based on applying a tailor-made projection operator to the initi…
A two-component nonlinear variational wave system
Peder Aursand, Anders Nordli
We derive a novel two-component generalization of the nonlinear variational wave equation as a model for the director field of a nematic liquid crystal with a variable order parame…
Numerical conservative solutions of the Hunter--Saxton equation
Katrin Grunert, Anders Nordli, Susanne Solem
In the article a convergent numerical method for conservative solutions of the Hunter--Saxton equation is derived. The method is based on piecewise linear projections, followed by…
Existence and Lipschitz stability for -dissipative solutions of the two-component Hunter-Saxton system
Katrin Grunert, Anders Nordli
We establish the concept of -dissipative solutions for the two-component Hunter-Saxton system under the assumption that either or for all $x\in \mathbb{R…
The Riemann Solver for Traffic Flow at an Intersection with Buffer of Vanishing Size
Alberto Bressan, Anders Nordli
The paper examines the model of traffic flow at an intersection introduced in [2], containing a buffer with limited size. As the size of the buffer approach zero, it is proved that…
A Lipschitz metric for conservative solutions of the two-component Hunter--Saxton system
Anders Nordli
We establish the existence of conservative solutions of the initial value problem of the two-component Hunter--Saxton system on the line. Furthermore we investigate the stability o…