70 citations · 235 across the 17 of their papers we have counts for
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math.AP2011★ 70 cited
Global solutions for the two-component Camassa-Holm system
K. Grunert, H. Holden, X. Raynaud
We prove existence of a global conservative solution of the Cauchy problem for the two-component Camassa-Holm (2CH) system on the line, allowing for nonvanishing and distinct asymp…
math.NA2011
Convergent Numerical Schemes for the Compressible Hyperelastic Rod Wave Equation
David Cohen, Xavier Raynaud
We propose a fully discretised numerical scheme for the hyperelastic rod wave equation on the line. The convergence of the method is established. Moreover, the scheme can handle th…
math.AP2011★ 29 cited
Global conservative solutions of the Camassa-Holm equation for initial data nonvanishing asymptotics
Katrin Grunert, Helge Holden, Xavier Raynaud
We study global conservative solutions of the Cauchy problem for the Camassa-Holm equation with nonvanishing and distinct spatial asy…