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    Article

    Blow-up of Smooth Solutions to the Cauchy Problem for the Viscous Two-Phase Model

    In this paper, we will show the blow-up of smooth solutions to the Cauchy problem for the viscous two-phase model in arbitrary dimensions under some restrictions on the initial data. The key of the proof is fi...

    Jianwei Dong, Junhui Zhu, Hongxia Xue in Mathematical Physics, Analysis and Geometry (2018)

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    Article

    Formation of singularities of solutions to the IBVP of the Euler–Boltzmann equations

    The initial-boundary value problem for the three-dimensional Euler–Boltzmann equations of a polytropic, ideal and isentropic fluid in radiation hydrodynamics is considered outside a unit ball. It is proved tha...

    Jianwei Dong, Hongxia Xue, Yan** Wang in Journal of Evolution Equations (2021)