On the characterization, existence and uniqueness of steady solutions to the hydrostatic Euler equations in a nozzle

DOI10.1007/s00205-024-02062-zMaRDI QIDQ6651300

Tak Kwong Wong, Chunjing Xie, Wang Shing Leung

Publication date: 10 December 2024

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

Liouville-type theoremhydrostatic Euler equationsEuler-Lagrange transformation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Sturm-Liouville theory (34B24) Degenerate elliptic equations (35J70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

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