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Asymptotic behavior of the nonlinear Vlasov equation with a self-consistent force

2014.03.24 18:48

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.

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