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Blow up for the solutions of the pressureless Euler-Poisson equations with time-dependent damping
  • Jianli Liu,
  • Jingwei Wang,
  • Lining Tong
Jianli Liu
Shanghai University
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Jingwei Wang
Shanghai University
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Lining Tong
Shanghai University
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Abstract

The Euler-Poisson equations can be used to describe the important physical phenomena in many areas, such as semiconductor modeling and plasma physics. In this paper, we show the singularity formation mechanism for the solutions of the pressureless Euler-Poisson equations with time-dependent damping for the attractive forces in R^n (n ≧1) and the repulsive forces in R. We obtain the blow up of the derivative of the velocity under the appropriate assumptions.

Peer review status:UNDER REVIEW

19 Jul 2021Submitted to Mathematical Methods in the Applied Sciences
20 Jul 2021Assigned to Editor
20 Jul 2021Submission Checks Completed
03 Aug 2021Reviewer(s) Assigned
29 Aug 2021Review(s) Completed, Editorial Evaluation Pending