August 17, 2025Journal of Mathematical Physics

Existence and nonlinear stability of steady state solutions of the 3-D Navier–Stokes–Poisson equations with non-flat doping profile of large variations in exterior domains

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YDYingzhi DuCity University of Hong Kong HLHairong LiuNanjing University of Science and Technology

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Implication

Analysis shows existence of steady state solutions for Navier-Stokes-Poisson equations in 3-D domains, indicating new methods for understanding complex behaviors.

Key Points

Steady state solutions exist in the 3-D exterior domain with a non-flat doping profile, allowing large variations in the doping distribution.
The study confirms global existence of strong solutions with a priori estimates, refining elliptic estimates significantly.
By applying new techniques, solutions to the Navier-Stokes-Poisson equations were proven to exist near steady states under varied boundary conditions.
Allows investigation of the electrostatic potential with Neumann boundary conditions, broadening the scope of complex fluid dynamics and electrostatics.

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Du et al. (2025) studied this question.

synapsesocial.com/papers/68a36a480a429f797332ee0f https://doi.org/10.1063/5.0271809

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Implication

Analysis shows existence of steady state solutions for Navier-Stokes-Poisson equations in 3-D domains, indicating new methods for understanding complex behaviors.

Existence and nonlinear stability of steady state solutions of the 3-D Navier–Stokes–Poisson equations with non-flat doping profile of large variations in exterior domains

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Cite This Study

Existence and nonlinear stability of steady state solutions of the 3-D Navier–Stokes–Poisson equations with non-flat doping profile of large variations in exterior domains

Discussion

Member takes

Implication

Key Points

Cite This Study

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