3 papers
math.NA2023
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…
math.AP2021
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…
math.AP2015
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…