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Analytical Blowup Solutions to the Compressible Euler Equations with Time-depending Damping

  • Jian-wei DONG ,
  • Guang-pu LOU ,
  • Qiao ZHANG
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  • Zhengzhou University of Aeronautics, Zhengzhou 450015, China

Received date: 2020-05-08

  Revised date: 2022-01-27

  Online published: 2022-06-22

Supported by

This paper is supported by the Project of Youth Backbone Teachers of Colleges and Universities in Henan Province (2019GGJS176) and the Vital Science Research Foundation of Henan Province Education Department (22A110024).

Abstract

In this paper, the analytical blowup solutions of the N-dimensional radial symmetric compressible Euler equations are constructed. Some previous results of the blowup solutions for the compressible Euler equations with constant damping are generalized to the time-depending damping case. The generalization is untrivial because that the damp coefficient is a nonlinear function of time t.

Cite this article

Jian-wei DONG , Guang-pu LOU , Qiao ZHANG . Analytical Blowup Solutions to the Compressible Euler Equations with Time-depending Damping[J]. Acta Mathematicae Applicatae Sinica(English Series), 2022 , 38(3) : 568 -578 . DOI: 10.1007/s10255-022-1100-x

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