Force stability of the Boltzmann equations-Reference-Cited by-同舟云学术

Force stability of the Boltzmann equations

Published:2024-02-15 Issue:04 Volume:35 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Lyu Ming-Jiea¹^ORCID,Wu Kung-Chien²³^ORCID

Affiliation:

1. Department of Applied Mathematics, Chung Yuan Christian University, Taoyuan, Taiwan

2. Department of Mathematics, National Cheng Kung University, Tainan, Taiwan

3. National Center for Theoretical Sciences, National Taiwan University, Taipei, Taiwan

Abstract

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 [Formula: see text] ([Formula: see text]) 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.

Funder

Ministry of Science and Technology, Taiwan

Mathematics Division, National Center for Theoretical Sciences

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X24500083

Reference15 articles.

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2. On the initial value problem for the Boltzmann equation with a force term

3. Uniform stability of solutions of Boltzmann equation for soft potential with external force

4. Lp stability of solutions of Boltzmann equation with external force in soft potentials

5. L1 and BV-type stability of the Boltzmann equation with external forces