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Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II: The nonlinear theory. (English) Zbl 1059.35103

MSC:
35Q35 PDEs in connection with fluid mechanics
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
35B35 Stability in context of PDEs
76B03 Existence, uniqueness, and regularity theory for incompressible inviscid fluids
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
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