On the damped Boussinesq equation in a circle

DOI10.1016/S0362-546X(98)00207-7zbMath0938.35146OpenAlexW2071024475MaRDI QIDQ4265741

Vladimir V. Varlamov

Publication date: 27 June 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(98)00207-7

zbMATH Keywords

existenceuniquenesslong waveslong-time asymptoticsFourier-Bessel seriesshallow waterdamped Boussinesq equationdamped oscillationsoverdamped oscillationsradially symmetric initial-boundary problem

Mathematics Subject Classification ID

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

Related Items (11)

Blow-up and scattering of solution for a generalized Boussinesq equation ⋮ On the dissipative Boussinesq equation in a non-cylindrical domain ⋮ Well-posedness of solutions for the dissipative Boussinesq equation with logarithmic nonlinearity ⋮ Convolutions of Rayleigh functions and their application to semi-linear equations in circular domains ⋮ The asymptotic solution of the initial boundary value problem to a generalized Boussinesq equation ⋮ Instability of the stationary solutions of generalized dissipative Boussinesq equation. ⋮ Global existence and blow up for damped generalized Boussinesq equation ⋮ Convolution of Rayleigh functions with respect to the Bessel index ⋮ On the spatially two-dimensional Boussinesq equation in a circular domain ⋮ Weak and strong semigroups in structural acoustic Kirchhoff-Boussinesq interactions with boundary feedback ⋮ Decay and scattering of solutions for a generalized Boussinesq equation

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