On the Hunter-Saxton equation
The Cauchy problem for a two-component Hunter-Saxton equation, begin{align*}(u_t+uu_x)_x&=frac{1}{2}u_x^2+frac{1}{2}rho^2,rho_t+(urho)_x) &= 0,end{align*}on $mathbb{R}times[0,infty)$ is studied. Conservative and dissipative weak solutions are defined and shown to exist globally. This...
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| Format: | Others |
| Language: | English |
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Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag
2012
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| Online Access: | http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-19057 |