TY - JOUR
T1 - Force stability of the Boltzmann equations
AU - Lyu, Ming Jiea
AU - Wu, Kung Chien
AU - Desvillettes, Laurent
N1 - Publisher Copyright:
© World Scientific Publishing Company.
PY - 2024/3/1
Y1 - 2024/3/1
N2 - In this paper, we consider the Boltzmann equation with external force in the whole space, where the collision kernel is assumed to be hard potential and cutoff. We prove that the solutions of such Boltzmann equations are Lp (1 ≤ p < ∞) stable under the perturbation of external force. Our estimate is based on the gradient estimate of the solution. The key step of this paper is to estimate the solutions of the equations propagate in different forward bi-characteristic.
AB - In this paper, we consider the Boltzmann equation with external force in the whole space, where the collision kernel is assumed to be hard potential and cutoff. We prove that the solutions of such Boltzmann equations are Lp (1 ≤ p < ∞) stable under the perturbation of external force. Our estimate is based on the gradient estimate of the solution. The key step of this paper is to estimate the solutions of the equations propagate in different forward bi-characteristic.
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U2 - 10.1142/S0129167X24500083
DO - 10.1142/S0129167X24500083
M3 - Article
AN - SCOPUS:85185314891
SN - 0129-167X
VL - 35
JO - International Journal of Mathematics
JF - International Journal of Mathematics
IS - 4
M1 - 24500081
ER -