Absence of anomalous dissipation for weak solutions of the Maxwell-Stefan system

Luigi C. Berselli; Stefanos Georgiadis; Athanasios E. Tzavaras

doi:10.1088/1361-6544/ada7b8

Absence of anomalous dissipation for weak solutions of the Maxwell-Stefan system

Luigi C. Berselli, Stefanos Georgiadis^*, Athanasios E. Tzavaras

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we give a short and self-contained proof of the fact that weak solutions to the Maxwell-Stefan system automatically satisfy an entropy equality, establishing the absence of anomalous dissipation.

Original language	English (US)
Article number	025018
Journal	Nonlinearity
Volume	38
Issue number	2
DOIs	https://doi.org/10.1088/1361-6544/ada7b8
State	Published - Feb 28 2025

Keywords

35D30
35Q35
76N15
76R50
76T30
anomalous dissipation.
gas mixture
isothermal model
Maxwell-Stefan equations
nonequilibrium thermodynamics

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/1361-6544/ada7b8

Cite this

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title = "Absence of anomalous dissipation for weak solutions of the Maxwell-Stefan system",

abstract = "In this paper we give a short and self-contained proof of the fact that weak solutions to the Maxwell-Stefan system automatically satisfy an entropy equality, establishing the absence of anomalous dissipation.",

keywords = "35D30, 35Q35, 76N15, 76R50, 76T30, anomalous dissipation., gas mixture, isothermal model, Maxwell-Stefan equations, nonequilibrium thermodynamics",

author = "Berselli, \{Luigi C.\} and Stefanos Georgiadis and Tzavaras, \{Athanasios E.\}",

note = "Publisher Copyright: {\textcopyright} 2025 The Author(s). Published by IOP Publishing Ltd and the London Mathematical Society.",

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doi = "10.1088/1361-6544/ada7b8",

language = "English (US)",

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journal = "Nonlinearity",

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T1 - Absence of anomalous dissipation for weak solutions of the Maxwell-Stefan system

AU - Berselli, Luigi C.

AU - Georgiadis, Stefanos

AU - Tzavaras, Athanasios E.

PY - 2025/2/28

Y1 - 2025/2/28

N2 - In this paper we give a short and self-contained proof of the fact that weak solutions to the Maxwell-Stefan system automatically satisfy an entropy equality, establishing the absence of anomalous dissipation.

AB - In this paper we give a short and self-contained proof of the fact that weak solutions to the Maxwell-Stefan system automatically satisfy an entropy equality, establishing the absence of anomalous dissipation.

KW - 35D30

KW - 35Q35

KW - 76N15

KW - 76R50

KW - 76T30

KW - anomalous dissipation.

KW - gas mixture

KW - isothermal model

KW - Maxwell-Stefan equations

KW - nonequilibrium thermodynamics

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U2 - 10.1088/1361-6544/ada7b8

DO - 10.1088/1361-6544/ada7b8

M3 - Article

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SN - 0951-7715

VL - 38

JO - Nonlinearity

JF - Nonlinearity

IS - 2

M1 - 025018

ER -

Absence of anomalous dissipation for weak solutions of the Maxwell-Stefan system

Abstract

Keywords

ASJC Scopus subject areas

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