HYDRODYNAMIC LIMIT OF THE BOLTZMANN-MONGE-AMPERE SYSTEM

This paper investigates the hydrodynamic limit of the Boltzmann-Monge-Ampere system in the so-called quasineutral regime and more precisely the convergence of the Boltzmann-Monge-Ampere system to the Euler equation by using the relative entropy method.

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Published inTWMS journal of applied and engineering mathematics Vol. 9; no. 3; p. 493
Main Author Belgacem, F. Ben
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2019
Elman Hasanoglu
Subjects
Convergence (Mathematics)
Electric potential
Entropy
Euler-Lagrange equation
Hydrodynamics
Magnetic fields
Mathematical models
Partial differential equations
Tunisia
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ISSN2146-1147
2146-1147

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Abstract This paper investigates the hydrodynamic limit of the Boltzmann-Monge-Ampere system in the so-called quasineutral regime and more precisely the convergence of the Boltzmann-Monge-Ampere system to the Euler equation by using the relative entropy method.
AbstractList This paper investigates the hydrodynamic limit of the Boltzmann-Monge-Ampere system in the so-called quasineutral regime and more precisely the convergence of the Boltzmann-Monge-Ampere system to the Euler equation by using the relative entropy method.
This paper investigates the hydrodynamic limit of the Boltzmann-Monge-Ampere system in the so-called quasineutral regime and more precisely the convergence of the Boltzmann-Monge-Ampere system to the Euler equation by using the relative entropy method. Keywords: Boltzman equation, Monge-Ampere equation, Euler equations of the incompressible fluid. AMS Subject Classification: AMS Subject Classification: 35F20, 35B40, 82D10
Audience Academic
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Elman Hasanoglu
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SubjectTerms Convergence (Mathematics)
Electric potential
Entropy
Euler-Lagrange equation
Hydrodynamics
Magnetic fields
Mathematical models
Partial differential equations
Title HYDRODYNAMIC LIMIT OF THE BOLTZMANN-MONGE-AMPERE SYSTEM
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