The well-posedness of shock solutions to non-isentropic Euler-Poisson system with varying background charges

DOI10.1007/S00033-020-01406-5zbMath1467.35249OpenAlexW3091043947MaRDI QIDQ2023004

Yuanyuan Xing, Ben Duan

Publication date: 3 May 2021

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-01406-5

zbMATH Keywords

transonic shockEuler-Poisson equationvarying background charges

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Transonic flows (76H05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Electro- and magnetostatics (78A30) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with semiconductor devices (35Q81)

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