Exponential Convergence to Equilibrium for Solutions of the Homogeneous Boltzmann Equation for Maxwellian Molecules

被引：0

作者：

Dolera, Emanuele ^{[1
]}

机构：

[1] Univ Pavia, Dept Math, Via Adolfo Ferrata 5, I-27100 Pavia, Italy

来源：

MATHEMATICS | 2022年 / 10卷 / 13期

关键词：

Boltzmann equation; linearized Boltzmann collision operator; Maxwellian molecules; Maxwellian density function; neighborhood of equilibrium; spatially homogeneous models; CENTRAL-LIMIT-THEOREM; PROPAGATION; CONJECTURE; PROOF; RATES;

D O I：

10.3390/math10132347

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the spatially homogeneous Boltzmann equation, with the assumption of Maxwellian interaction. We consider initial data that belong to a small neighborhood of the equilibrium, which is a Maxwellian distribution. We prove that the solution remains in another small neighborhood with the same center and converges to this equilibrium exponentially fast, with an explicit quantification.

引用

页数：11

共 34 条

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