@Article{CMR-28-2,
author = {Zhenglu, Jiang and Ma, Lijun and Zheng-An, Yao},
title = {Stability of Global Solution to Boltzmann-Enskog Equation with External Force},
journal = {Communications in Mathematical Research },
year = {2012},
volume = {28},
number = {2},
pages = {108--120},
abstract = {<p style="text-align: justify;">In the presence of external forces depending only on the time and space
variables, the Boltzmann-Enskog equation formally conserves only the mass of the
system, and its entropy functional is also nonincreasing. Corresponding to this type
of equation, we first give some hypotheses of its bicharacteristic equations and then
get some results about the stability of its global solution with the help of two new
Lyapunov functionals: one is to describe interactions between particles with different
velocities and the other is to measure the $L^1$ distance between two mild solutions.
The former Lyapunov functional yields the time-asymptotic convergence of global
classical solutions to the collision free motion while the latter is applied into the verification of the $L^1$ stability of global mild solutions to the Boltzmann-Enskog equation
for a moderately or highly dense gas in the influence of external forces.</p>},
issn = {2707-8523},
doi = {https://doi.org/2012-CMR-19054},
url = {https://global-sci.com/article/81825/stability-of-global-solution-to-boltzmann-enskog-equation-with-external-force}
}