On the local well‐posedness of the 1D Green–Naghdi system on Sobolev spaces
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Publication:6143802
DOI10.1002/mana.202200256MaRDI QIDQ6143802
Publication date: 24 January 2024
Published in: Mathematische Nachrichten (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
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- On the regularity of the composition of diffeomorphisms
- On a Lagrangian Formulation of the Incompressible Euler Equation
- A Nash-Moser theorem for singular evolution equations. Application to the Serre and Green-Naghdi equations
- A shallow‐water approximation to the full water wave problem
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