On the Boussinesq/full dispersion systems and Boussinesq/Boussinesq systems for internal waves

DOI10.1016/j.na.2009.06.076zbMath1291.76076OpenAlexW4247301332MaRDI QIDQ1049521

Cung The Anh

Publication date: 12 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.06.076

zbMATH Keywords

energy methodCauchy problemwell-posednessinternal wavesBoussinesq/Boussinesq systemsBoussinesq/full dispersion systemscontraction-mapping argumentfull dispersion/full dispersion systemssmall amplitude/small amplitude regime

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Internal waves for incompressible inviscid fluids (76B55) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (11)

New long time existence results for a class of Boussinesq-type systems ⋮ On some Boussinesq/full dispersion systems for internal waves: numerical solution and solitary waves ⋮ Long time existence for the Boussinesq-Full dispersion systems ⋮ On the numerical approximation of Boussinesq/Boussinesq systems for internal waves ⋮ The Cauchy problem on large time for surface waves Boussinesq systems ⋮ Existence and uniqueness for a nonlocal internal wave model ⋮ Long time existence results for bore-type initial data for BBM-Boussinesq systems ⋮ Existence of solitary wave solutions for internal waves in two-layer systems ⋮ On solitary-wave solutions of Boussinesq/Boussinesq systems for internal waves ⋮ EXISTENCE AND NUMERICAL APPROXIMATION OF SOLUTIONS OF AN IMPROVED INTERNAL WAVE MODEL ⋮ The Cauchy Problem on Large Time for Surface-Waves-Type Boussinesq Systems II

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