Journal
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Volume 37, Issue 4, Pages 1044-1069Publisher
SIAM PUBLICATIONS
DOI: 10.1137/040616711
Keywords
hyperelastic-rod wave equation; Camassa-Holm equation; weak solutions; existence; uniqueness
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We consider a generalized hyperelastic-rod wave equation (or generalized Camassa-Holm equation) describing nonlinear dispersive waves in compressible hyperelastic rods. We establish existence of a strongly continuous semigroup of global weak solutions for any initial data from H-1(R). We also present a weak equals strong uniqueness result.
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