Global well-posedness of strong solutions with large oscillations and vacuum to the compressible Navier-Stokes-Poisson equations subject to large and non-flat doping profile

DOI10.1016/j.jde.2020.06.006zbMath1446.35132OpenAlexW3035984634MaRDI QIDQ778219

Xin Ying Xu, Sheng-quan Liu, Jian-Wen Zhang

Publication date: 2 July 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.06.006

zbMATH Keywords

vacuumglobal strong solutionsNavier-Stokes-Poisson equationslarge oscillationslarge non-flat doping profile

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) PDEs of mixed type (35M10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Resonance in context of PDEs (35B34) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Related Items (6)

Global existence and the algebraic decay rate of the solution for the quantum Navier–Stokes–Poisson equations in R3 ⋮ Stability of Rarefaction Waves of the Compressible Navier--Stokes--Poisson System with Large Initial Perturbation ⋮ Asymptotic Behavior of Solutions to One-Dimensional Compressible Navier-Stokes-Poisson Equations with Large Initial Data ⋮ Global existence and decay of strong solutions to the compressible Navier-Stokes-Poisson equations in bounded domains ⋮ Unnamed Item ⋮ Corrigendum to: ``Global well-posedness of strong solutions with large oscillations and vacuum to the compressible Navier-Stokes-Poisson equations subject to large and non-flat doping profile

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