Mass concentration phenomenon in the 3D bipolar compressible Navier-Stokes-Poisson system

DOI10.1007/S11868-023-00582-YOpenAlexW4391718124MaRDI QIDQ6202032

Peng Fu, Fu Yi Xu, Qingkui Ma

Publication date: 21 February 2024

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-023-00582-y

zbMATH Keywords

smooth solutionsbipolar compressible Navier-Stokes-Poisson systemmass concentration phenomenon

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Motion of charged particles (78A35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Singularity in context of PDEs (35A21) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• Global well-posedness of compressible bipolar Navier-Stokes-Poisson equations
• A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
• On \(BMO\) regularity for linear elliptic systems
• Unique solvability of the initial boundary value problems for compressible viscous fluids.
• Pointwise estimates for bipolar compressible Navier-Stokes-Poisson system in dimension three
• Strong solutions of the Navier-Stokes equations for isentropic compressible fluids
• Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
• Stability of rarefaction wave and boundary layer for outflow problem on the two-fluid Navier-Stokes-Poisson equations
• The unique global solvability of multi-dimensional compressible Navier-Stokes-Poisson-Korteweg model
• Global low-energy weak solutions of the equations of three-dimensional compressible magnetohydrodynamics
• Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
• A note on limiting cases of sobolev embeddings and convolution inequalities

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