Blowup and non-global existence of smooth solutions to the one-dimensional Euler–Boltzmann equations

DOI10.1142/s0219891623500030zbMath1518.35143OpenAlexW4377247641MaRDI QIDQ6133481

Jian-Wei Dong, Unnamed Author

Publication date: 24 July 2023

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219891623500030

zbMATH Keywords

blow-upsmooth solutionsradiation hydrodynamicsEuler-Boltzmann equationsnon-global existence

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Waves and radiation in optics and electromagnetic theory (78A40) Blow-up in context of PDEs (35B44) Euler equations (35Q31) Boltzmann equations (35Q20)

Cites Work

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• On blow-up of regular solutions to the isentropic Euler and Euler-Boltzmann equations with vacuum
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• Local existence and finite-time blow-up in multidimensional radiation hydrodynamics
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• Formation of singularities of solutions to the three-dimensional Euler–Boltzmann equations in radiation hydrodynamics
• Sur la solution à support compact de l’equation d’Euler compressible
• INITIAL-BOUNDARY VALUE PROBLEMS AND FORMATION OF SINGULARITIES FOR ONE-DIMENSIONAL NON-RELATIVISTIC RADIATION HYDRODYNAMIC EQUATIONS
• THE HIGH FIELD ASYMPTOTICS FOR A FERMIONIC BOLTZMANN EQUATION: ENTROPY SOLUTIONS AND KINETIC SHOCK PROFILES

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