139 citations · 534 across the 31 of their papers we have counts for
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math.AP2020★ 2 cited
Traveling Waves for the Nonlinear Variational Wave Equation
Katrin Grunert, Audun Reigstad
We study traveling wave solutions of the nonlinear variational wave equation. In particular, we show how to obtain global, bounded, weak traveling wave solutions from local, classi…
math.AP2020
A Regularized System for the Nonlinear Variational Wave Equation
Katrin Grunert, Audun Reigstad
We derive a new generalization of the nonlinear variational wave equation. We prove existence of local, smooth solutions for this system. As a limiting case, we recover the nonline…
math.AP2020★ 10 cited
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…