Katrin Grunert

collaborators

2 papers

math.AP2025

Wave breaking for the nonlinear variational wave equation

Sondre Tesdal Galtung, Katrin Grunert

Following conservative solutions of the nonlinear variational wave equation $u_{tt} - c (u) (c (u) u_{x})_{x} = 0$ along forward and backward characteristics, we identify criteria, which guara…

math.NA2024

Rate of convergence for numerical $α$ -dissipative solutions of the Hunter-Saxton equation

Thomas Christiansen, Katrin Grunert

We prove that $α$ -dissipative solutions to the Cauchy problem of the Hunter-Saxton equation, where $α \in W^{1, \infty} (R, [0, 1))$ , can be computed numerically with order…

Wave breaking for the nonlinear variational wave equation

Rate of convergence for numerical α-dissipative solutions of the Hunter-Saxton equation

Rate of convergence for numerical $α$ -dissipative solutions of the Hunter-Saxton equation