Nonnegativity and well-posedness of the regular solution of the magnetized Boltzmann equation

DOI10.1016/S0034-4877(20)30024-0zbMath1441.35182OpenAlexW3017010685MaRDI QIDQ2194282

Francis Etienne Djiofack, David Dongo

Publication date: 25 August 2020

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(20)30024-0

zbMATH Keywords

well-posednessrelativistic Boltzmann equationregular solutionnonnegativity

Mathematics Subject Classification ID

Classical and relativistic thermodynamics (80A10) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Positive solutions to PDEs (35B09) Boltzmann equations (35Q20)

Cites Work

• Unnamed Item
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• Global existence of solutions for the Einstein-Boltzmann system with cosmological constant in the Robertson-Walker space-time
• Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
• Existence, uniqueness, and local stability for the Einstein-Maxwell- Boltzmann system
• Global existence of solutions for the relativistic Boltzmann equation with arbitrarily large initial data on a Bianchi type I space-time
• Problème de Cauchy pour le système intégro-différentiel d'Einstein-Liouville. (Cauchy problem for the Einstein-Liouville integro-differential system)
• ON NONNEGATIVITY OF SOLUTIONS OF THE BOLTZMANN EQUATION
• THE EINSTEIN–BOLTZMANN SYSTEM AND POSITIVITY
• Global existence of solutions for the Einstein–Boltzmann system in a Bianchi type I spacetime for arbitrarily large initial data
• Bianchi type-I magnetized cosmological models for the Einstein-Boltzmann equation with the cosmological constant

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