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Journal of Modern Mathematics and Statistics

ISSN: Online
ISSN: Print 1994-5388
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The Cauchy Problem for the Elastic Boltzmann Equation with an External Force

Julio Cisneros Lorduy
Page: 10-14 | Received 21 Sep 2022, Published online: 21 Sep 2022

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https://doi.org/10.36478/jmmstat.2020.10.14

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Abstract

The Cauchy problem for the elastic Boltzmann equation with external force is considered for near vacuum data. We prove the existence of solutions for initial data small enough with respect to the sup norm by using the fixed point theorem of Krasnoselskii.

How to cite this article:

Julio Cisneros Lorduy. The Cauchy Problem for the Elastic Boltzmann Equation with an External Force.
DOI: https://doi.org/10.36478/jmmstat.2020.10.14
URL: https://www.makhillpublications.co/view-article/1994-5388/jmmstat.2020.10.14