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

Bona, J. L.; Chen, M.; Saut, J.-C.

Nonlinearity 17, No. 3, 925-952 (2004).

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

Keywords:

first-order correct models; linearly well posed; locally nonlinearly well posed; higher-order correct models