Academy;
of;
Mathematics;
and;
Systems;
Science,;
Chinese;
Academy;
of;
Sciences,;
Beijing;
100080,;
China;
Department;
of;
Mathematics,;
Nanjing;
University,;
Nanjing;
210093,;
China;
College;
of;
Applied;
Sciences,;
Beijing;
University;
of;
Technology,;
Beijing;
100022,;
China;
Vlasov-Poisson-Fokker-Planck; system; incompressible; Euler; equations; relative-entropy; method.;