Marcus Wunsch - Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan (email)
Abstract: We show local existence of solutions to a two-component Hunter--Saxton system. Moreover, we prove that the slopes of solutions can become unbounded. Finally, if initial data satisfy appropriate smallness conditions, the associated flow is global.
Keywords: Two-component Hunter--Saxton system, local well-posedness,
blow-up phenomena, global existence in time.
Received: April 2009; Revised: May 2009; Available Online: July 2009.
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