실적년도 | 2011 년 |
---|---|
논문구분 | 국외 |
총저자 | Sun-Ho Choi Seung-Yeal Ha |
학술지명 | SIAM J. Math. Anal. |
권(Vol.) | |
호(No.) | |
게재년월 | 년 월 |
Impact Factor | |
SCI 등재 | SCI |
비고 |
We present a critical threshold phenomenon on the L1-asymptotic completeness for
the nonlinear Vlasov equation with a self-consistent force. For a long-ranged self-consistent force,
we show that the nonlinear Vlasov equation has no L1-asymptotic completeness, which means that
the nonlinear Vlasov
ow can not be approximated by the corresponding free
ow in L1-norm timeasymptotically.
In contrast, for a short-ranged force, the nonlinear Vlasov
ow can be approximated
by the free
ow time-asymptotically. Our result corresponds to the kinetic analogue of scattering
results to the Schrodinger type equations in quantum mechanics.