Radially symmetric spiral flows of the compressible Euler-Poisson system for semiconductors
DOI10.1016/j.jde.2023.06.017zbMath1527.35419OpenAlexW4385282879MaRDI QIDQ6048934
Ming Mei, Liang Chen, Guojing Zhang
Publication date: 15 September 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2023.06.017
radially symmetricEuler-Poisson systemnonlocal effectsmooth transonic flownonzero angular velocitysupersonic-supersonic shock flow
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05) Fixed-point theorems (47H10) First-order nonlinear hyperbolic equations (35L60) Statistical mechanics of semiconductors (82D37) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Motion of charged particles (78A35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Supersonic flows (76J20) Symmetries, invariants, etc. in context of PDEs (35B06) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Pattern formations in context of PDEs (35B36) PDEs in connection with semiconductor devices (35Q81)
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