On the local well‐posedness of the 1D Green–Naghdi system on Sobolev spaces

DOI10.1002/mana.202200256MaRDI QIDQ6143802

Hasan Inci

Publication date: 24 January 2024

Published in: Mathematische Nachrichten (Search for Journal in Brave)

zbMATH Keywords

local well-posednessdiffeomorphism group1D Green-Naghdi system

Mathematics Subject Classification ID

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

• Unnamed Item
• Large time existence for 1D Green-Naghdi equations
• A derivation of equations for wave propagation in water of variable depth
• Korteweg-de Vries Equation and Generalizations. III. Derivation of the Korteweg-de Vries Equation and Burgers Equation
• 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

This page was built for publication: On the local well‐posedness of the 1D Green–Naghdi system on Sobolev spaces