u - ACMAC
u - ACMAC
u - ACMAC
SHOW LESS
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Hopf equation<br />
• hyperbolic conservation law for u(x, t),<br />
initial data u 0 (x)<br />
u t + 6uu x = 0, u(x, 0) = u 0 (x)<br />
• solution with the method of characteristics<br />
u(x, t) = u 0 ( ), x = 6tu 0 ( ) +<br />
1<br />
• critical time t c =<br />
min ⇥R [ 6u 0 ( )] ,<br />
gradient catastrophe,<br />
t > t c : solution multivalued (shock)<br />
Dienstag, 29. Mai 2012
Change language