Navier-Stokes limit of globally hyperbolic moment equations

Zhiting Ma

doi:10.3934/krm.2021001

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2021, Volume 14, Issue 1: 175-197. Doi: 10.3934/krm.2021001

This issue Previous Article Collisional sheath solutions of a bi-species Vlasov-Poisson-Boltzmann boundary value problem Next Article

Navier-Stokes limit of globally hyperbolic moment equations

Zhiting Ma

Department of Mathematical Sciences, Tsinghua University, Beijing, China

Received: April 30, 2020

Revised: October 31, 2020

Early access: December 2020

Published: February 2021

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Abstract

This paper is concerned with the Navier-Stokes limit of a class of globally hyperbolic moment equations from the Boltzmann equation. we show that the Navier-Stokes equations can be formally derived from the hyperbolic moment equations for various different collision mechanisms. Furthermore, the formal limit is justified rigorously by using an energy method. It should be noted that the hyperbolic moment equations are in non-conservative form and do not have a convex entropy function, therefore some additional efforts are required in the justification.

Erratum: The month information has been corrected from January to February. We apologize for any inconvenience this may cause.

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Mathematics Subject Classification: 35Q35, 82C40, 35L60.

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