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The rigorous derivation of unipolar Euler-Maxwell system for electrons from bipolar Euler-Maxwell system by infinity-ion-mass limit
  • LIANG ZHAO
LIANG ZHAO
Shanghai Jiao Tong University
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Abstract

In the paper, we consider the local-in-time and the global-in-time infinity-ion-mass convergence of bipolar Euler-Maxwell systems by setting the mass of an electron me=1 and letting the mass of an ion mi→∞. We use the method of asymptotic expansions to handle the local-in-time convergence problem and find that the limiting process from bipolar models to unipolar models is actually decoupling, but not the vanishing of equations for the corresponding the other particle. Moreover, when the initial data is sufficiently close to the constant equilibrium state, we establish the global-in-time infinity-ion-mass convergence.

Peer review status:ACCEPTED

12 Mar 2020Submitted to Mathematical Methods in the Applied Sciences
14 Mar 2020Assigned to Editor
14 Mar 2020Submission Checks Completed
27 Mar 2020Reviewer(s) Assigned
23 Jun 2020Review(s) Completed, Editorial Evaluation Pending
26 Sep 2020Editorial Decision: Accept