The Initial-Value Problem to the Modified Two-Component Euler--Poincaré Equations
DOI10.1137/20M138274XzbMath1492.35211OpenAlexW4223582946MaRDI QIDQ5071207
Publication date: 20 April 2022
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m138274x
blow-upglobal existenceCamassa-Holm equationEuler-Poincaré equationsLiouville-type theoremzero dispersion limit
PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44) Euler equations (35Q31) Strong solutions to PDEs (35D35) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
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