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- Title
Blowup and non-global existence of smooth solutions to the one-dimensional Euler–Boltzmann equations.
- Authors
Dong, Jianwei; Meng, Yingjie
- Abstract
In this paper, we study the blowup and non-global existence of smooth solutions to the one-dimensional Euler–Boltzmann equations of radiation hydrodynamics. First, we improve the blowup result in [P. Jiang and Y. G. Wang, Initial-boundary value problems and formation of singularities for one-dimensional non-relativistic radiation hydrodynamic equations, J. Hyperbolic Differential Equations 9 (2012) 711–738] on the half line [ 0 , + ∞) for large initial data by removing a restrict condition. Next, we obtain a new blowup result on the half line [ 0 , + ∞) by introducing a new momentum weight. Finally, we present two non-global existence results for the smooth solutions to the one-dimensional Euler–Boltzmann equations with vacuum on the interval [ 0 , 1 ] by introducing some new average quantities.
- Subjects
HYPERBOLIC differential equations; BLOWING up (Algebraic geometry); EQUATIONS
- Publication
Journal of Hyperbolic Differential Equations, 2023, Vol 20, Issue 1, p77
- ISSN
0219-8916
- Publication type
Article
- DOI
10.1142/S0219891623500030