A comparison theorem for super- and subsolutions of $\mathbf {\nabla ^2 u + f (u) = 0}$ and its application to water waves with vorticity
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Publication:5743355
DOI10.1090/spmj/1554zbMath1429.35041arXiv1710.03225OpenAlexW3082035334WikidataQ114093819 ScholiaQ114093819MaRDI QIDQ5743355
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Publication date: 9 May 2019
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.03225
vorticitystreamfunctionnonlinear differential inequalityperiodic water wavespartial hodograph transform
PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Maximum principles in context of PDEs (35B50) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Semilinear elliptic equations (35J61)
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