Well-posedness for the Cauchy problem associated to a periodic Boussinesq equation

DOI10.1016/j.na.2013.04.011zbMath1284.35353OpenAlexW2001304956MaRDI QIDQ395406

Hongwei Wang, Amin Esfahani

Publication date: 29 January 2014

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.2013.04.011

zbMATH Keywords

Cauchy problemBoussinesq equationwell-posedness

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Euler equations (35Q31)

Related Items

Classical solutions for 1-dimensional and 2-dimensional Boussinesq equations ⋮ A non-homogeneous boundary value problem of the sixth order Boussinesq equation in a quarter plane ⋮ A semi-discrete first-order low regularity exponential integrator for the ``good Boussinesq equation without loss of regularity ⋮ Controllability and Stabilizability of a Higher Order Wave Equation on a Periodic Domain ⋮ Global rough solutions to the sixth-order Boussinesq equation ⋮ Wellposedness of the sixth order Boussinesq equation with non-homogeneous boundary values on a bounded domain ⋮ Unnamed Item ⋮ Two exponential-type integrators for the ``good Boussinesq equation

Cites Work

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