u - ACMAC
u - ACMAC
u - ACMAC
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Generalized KP equations<br />
•<br />
• equations<br />
(linear) and<br />
u t + u p u x + u xxx @ 1<br />
x u yy =0<br />
u t + u xxx @ 1<br />
x u yy =0<br />
u t + u p u x =0<br />
(shocks) do not have blow up of the L 1 -norm of u.<br />
• for p4/3 blow up in finite time of ||u y || 2 for initial data<br />
with negative energy (Molinet, Saut, Tzvetkov 2002).<br />
No conjectures for KPII.<br />
Dienstag, 29. Mai 2012