Global Existence and Decay for Solutions to the “Bad” Boussinesq Equation in Two Space Dimensions

DOI10.1080/00036810310001620045zbMath1049.35046OpenAlexW2064208101WikidataQ58243608 ScholiaQ58243608MaRDI QIDQ4465264

Akmel Dé Godefroy

Publication date: 27 May 2004

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810310001620045

zbMATH Keywords

large time behavior

Mathematics Subject Classification ID

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

Related Items (5)

Forced nonlinear oscillations of elastic membranes ⋮ Longtime dynamics of the damped Boussinesq equation ⋮ Cauchy problem for the multi-dimensional Boussinesq type equation ⋮ Global existence and asymptotic behaviour of solutions for the generalized Boussinesq equation ⋮ Dynamics for the damped Boussinesq equation with delay

Cites Work

• A note on the non-existence of global solutions of initial boundary value problems for the Boussinesq equation \(u_{tt}=3u_{xxxx}+u_{xx}- 12(u^ 2)_{xx}\)
• The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
• Global existence of small solutions for a generalized Boussinesq equation
• On the Blow-up of Certain Solutions of the “Good” Boussinesq Equation
• Inverse scattering and the boussinesq equation

This page was built for publication: Global Existence and Decay for Solutions to the “Bad” Boussinesq Equation in Two Space Dimensions