Large data asymptotic behaviour for the generalized Boussinesq equation

DOI10.1088/0951-7715/21/2/001zbMath1133.35422OpenAlexW2084021313MaRDI QIDQ5448874

Luiz Gustavo Farah

Publication date: 7 March 2008

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/21/2/001

zbMATH Keywords

Boussinesq equationasymptotic behaviourreciprocal problemKato's abstract theory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35)

Related Items (13)

Well-posedness and Scattering for the Generalized Boussinesq Equation ⋮ Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity ⋮ Time periodic solutions to the beam equation with weak damping ⋮ Existence theory for the Boussinesq equation in modulation spaces ⋮ On well-posedness and wave operator for the gKdV equation ⋮ High energy blow up for two-dimensional generalized exponential-type Boussinesq equation ⋮ Global existence and time-decay rates of solutions to the generalized Boussinesq equation with weak damping ⋮ Refined long time existence of the Boussinesq equation with large initial data in \(\mathbb{R}^n\) ⋮ Existence and scattering theory for Boussinesq type equations with singular data ⋮ The ``good Boussinesq equation: long-time asymptotics ⋮ Decay estimates for a dissipative-dispersive linear semigroup and application to the viscous Boussinesq equation ⋮ Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source ⋮ On the wave operator for the generalized Boussinesq equation

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