RT Journal Article
T1 Long-time Behaviour for Solutions of the Vlasov–Poisson–Fokker–Planck Equation
A1 Carpio Rodríguez, Ana María
AB We study the long-time behaviour of solutions of the Vlasov–Poisson–Fokker–Planck equation for initial data small enough and satisfying some suitable integrability conditions. Our analysis relies on the study of the linearized problems with bounded potentials decaying fast enough for large times. We obtain global bounds in time for the fundamental solutions of such problems and their derivatives. This allows to get sharp bounds for the decay of the difference between the solutions of the Vlasov–Poisson–Fokker–Planck equation and the solution of the free equation with the same initial data. Thanks to these bounds, we get an explicit form for the second term in the asymptotic expansion of the solutions for large times.
PB Wiley
SN 0170-4214
YR 1998
FD 1998
LK https://hdl.handle.net/20.500.14352/94397
UL https://hdl.handle.net/20.500.14352/94397
LA eng
NO Carpio, Ana. «Long-Time Behaviour for Solutions of the Vlasov-Poisson-Fokker-Planck Equation». Mathematical Methods in the Applied Sciences, vol. 21, n.o 11, julio de 1998, pp. 985-1014.  https://doi.org/10.1002/(SICI)1099-1476(19980725)21:11<985::AID-MMA919>3.0.CO;2-B.
DS Docta Complutense
RD 20 abr 2025