On the global well-posedness for a multi-dimensional compressible Navier-Stokes-Poisson system

DOI10.1016/j.aml.2023.108656zbMath1530.35215OpenAlexW4327571785MaRDI QIDQ6167237

Zheng Wang, Fu Yi Xu, Junting Dong

Publication date: 7 July 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108656

zbMATH Keywords

global well-posednessNavier-Stokes-Poisson system\(L^p\)-type critical Besov spaces

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Electro- and magnetostatics (78A30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Global well-posedness for the compressible Navier-Stokes-Poisson system in the \(L^p\) framework
• Existence of global strong solutions in critical spaces for barotropic viscous fluids
• A global existence result for the compressible Navier--Stokes equations in the critical \(L ^{p }\) framework
• Global existence for compressible Navier-Stokes-Poisson equations in three and higher dimensions
• Fourier Analysis and Nonlinear Partial Differential Equations
• Global well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity
• On the global existence and time decay estimates in critical spaces for the Navier–Stokes–Poisson system

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