Smooth subsonic and transonic spiral flows with nonzero vorticity to steady Euler-Poisson system in concentric cylinders

DOI10.1007/s00332-024-10057-zzbMath1547.35579MaRDI QIDQ6588231

Wengang Yang, Shangkun Weng, Na Zhang

Publication date: 15 August 2024

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

zbMATH Keywords

structural stabilityEuler-Poisson systemsubsonic spiral flowsdeformation-curl-Poisson decompositionsmooth transonic spiral flows

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Transonic flows (76H05) General aerodynamics and subsonic flows (76G25) Gas dynamics (general theory) (76N15) PDEs of mixed type (35M10) Hyperbolic conservation laws (35L65) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Symmetries, invariants, etc. in context of PDEs (35B06) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Axially symmetric solutions to PDEs (35B07)

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