Preprint 2005-008

Global weak solutions to a generalized hyperelastic-rod wave equation

Giuseppe M. Coclite, Helge Holden and Kenneth H. Karlsen

Abstract: 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 H1(R). We also prove a ``weak equals strong''uniqueness result.


Paper:
Available as PDF (308 Kbytes), Postscript (1344 Kbytes) or gzipped PostScript (368 Kbytes; uncompress using gunzip).
Author(s):
Giuseppe M. Coclite <giusepc@math.uio.no>
Helge Holden, <holden@math.ntnu.no>
Kenneth H. Karlsen, <kennethk@math.uio.no>
Publishing information:
Comments:
Submitted by:
<giusepc@math.uio.no> January 28 2005.


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