Global solutions to the Cauchy problem of BNSP equations in some classes of large data

Global solutions to the Cauchy problem of BNSP equations in some classes of large data

In this paper, we obtained the global existence and large time behavior of the solution for bipolar Navier-Stokes-Poisson equations under the partially smallness assumption of the initial data. Due to the complexity of bipolar Navier-Stokes-Poisson equations, we chose Green's function method in...

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Bibliographic Details
Main Authors: Jie Qi, Weike Wang
Format: Article
Language:English
Published: AIMS Press 2024-09-01
Series:Electronic Research Archive
Subjects:
regularity criterion
bootstrap argument
green's function
global existence
decay rate of solution
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2024255
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Summary:In this paper, we obtained the global existence and large time behavior of the solution for bipolar Navier-Stokes-Poisson equations under the partially smallness assumption of the initial data. Due to the complexity of bipolar Navier-Stokes-Poisson equations, we chose Green's function method instead of the classical energy method and thus discussed the regularity criterion under decaying structures in time instead of only integrability of time variable. It made the whole proof more simple and clear, meanwhile, resulted in the large time decaying estimates of the solution. It also showed the advantage of Green's function method in the study of global existence in the large perturbation framework.
ISSN:2688-1594

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