• Existence and Lipschitz stability for α-dissipative solutions of the two-component Hunter–Saxton system 

      Grunert, Katrin; Nordli, Anders Samuelsen (Journal article, 2018)
      We establish the concept of α-dissipative solutions for the two-component Hunter–Saxton system under the assumption that either α(x)=1 or 0≤α(x)<1 for all x∈R. Furthermore, we investigate the Lipschitz stability of solutions ...
    • Numerical conservative solutions of the Hunter–-Saxton equation 

      Grunert, Katrin; Nordli, Anders Samuelsen; Solem, Susanne (Peer reviewed; Journal article, 2021)
      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 evolution along characteristics where the ...
    • On the Hunter-Saxton equation 

      Nordli, Anders Samuelsen (Master thesis, 2012)
      The Cauchy problem for a two-component Hunter-Saxton equation, begin{align*}(u_t+uu_x)_x&=frac{1}{2}u_x^2+frac{1}{2}rho^2,rho_t+(urho)_x) &= 0,end{align*}on $mathbb{R}times[0,infty)$ is studied. Conservative and dissipative ...