We study Lipschitz stability in time for [Formula: see text]-dissipative solutions to the Hunter–Saxton equation, where [Formula: see text] is a constant. We define metrics in both Lagrangian and Eulerian coordinates, and establish Lipschitz stability for those metrics.

We explore the Lipschitz stability of solutions to the Hunter-Saxton equation with respect to the initial data. In particular, we study the stability of α-dissipative solutions constructed using a generalised method of characteristics approach, where α is a function determining the energy loss at each position in space.

We study Lipschitz stability in time for α-dissipative solutions to the Hunter-Saxton equation, where α ∈ [0, 1] is a constant. We define metrics in both Lagrangian and Eulerian coordinates, and establish Lipschitz stability for those metrics.