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

被引：0

作者：

Berselli, Luigi C. ^{[1
]}

Georgiadis, Stefanos ^{[2
,3
]}

Tzavaras, Athanasios E. ^{[2
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, Via F Buonarroti 1 C, I-I56127 Pisa, Italy

[2] King Abdullah Univ Sci & Technol KAUST, Comp Elect & Math Sci & Engn Div, Thuwal 239556900, Saudi Arabia

[3] Vienna Univ Technol, Inst Anal & Sci Comp, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria

来源：

NONLINEARITY | 2025年 / 38卷 / 02期

基金：

奥地利科学基金会; 欧洲研究理事会;

关键词：

gas mixture; Maxwell-Stefan equations; isothermal model; nonequilibrium thermodynamics; anomalous dissipation; ENERGY-CONSERVATION; EULER;

D O I：

10.1088/1361-6544/ada7b8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：12

共 50 条

[21] ON THE RELATIONSHIP BETWEEN THE EXACT AND LINEARIZED SOLUTIONS OF THE MAXWELL-STEFAN EQUATIONS FOR THE MULTICOMPONENT FILM MODEL
TAYLOR, R
WEBB, DR
CHEMICAL ENGINEERING COMMUNICATIONS, 1980, 7 (4-5) : 287 - 299
[22] AN ENERGY STABLE AND POSITIVITY-PRESERVING SCHEME FOR THE MAXWELL-STEFAN DIFFUSION SYSTEM
Huo, Xiaokai
Liu, Hailiang
Tzavaras, Athanasios E.
Wang, Shuaikun
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 59 (05) : 2321 - 2345
[23] Modeling of reactive absorption using the Maxwell-Stefan equations
Russian Academy of Sciences, Institute of New Chemical Problems, Chernogolovka, Russia
不详
不详
不详
Ind Eng Chem Res, 10 (4325-4334):
[24] Modeling of reactive absorption using the Maxwell-Stefan equations
Kenig, EY
Wiesner, U
Gorak, A
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 1997, 36 (10) : 4325 - 4334
[25] On the Maxwell-Stefan diffusion limit for a mixture ofmonatomic gases
Hutridurga, Harsha
Salvarani, Francesco
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (03) : 803 - 813
[26] A particulate pulse-release system and mathematical description with the Maxwell-Stefan theory
Kok, PJAH
Vonk, P
Kossen, NWF
JOURNAL OF CONTROLLED RELEASE, 2000, 66 (2-3) : 293 - 306
[27] Dynamic modelling of reactive absorption with the Maxwell-Stefan approach
Schneider, R
Kenig, EY
Górak, A
CHEMICAL ENGINEERING RESEARCH & DESIGN, 1999, 77 (A7): : 633 - 638
[28] Verification of the Maxwell-Stefan theory for tracer diffusion in zeolites
Krishna, R
Paschek, D
CHEMICAL ENGINEERING JOURNAL, 2002, 85 (01) : 7 - 15
[29] A MATHEMATICAL AND NUMERICAL ANALYSIS OF THE MAXWELL-STEFAN DIFFUSION EQUATIONS
Boudin, Laurent
Grec, Berenice
Salvarani, Francesco
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2012, 17 (05): : 1427 - 1440
[30] NEGATIVE MAXWELL-STEFAN DIFFUSION-COEFFICIENTS - COMMENTS
KRAAIJEVELD, G
WESSELINGH, JA
KUIKEN, GDC
INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 1994, 33 (03) : 750 - 751

← 1 2 3 4 5 →