Long-time asymptotics of solutions for the second initial-boundary value problem for the damped Boussinesq equation
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Publication:1809769
DOI10.1155/S1085337597000407zbMath0933.35165OpenAlexW1982656688MaRDI QIDQ1809769
Publication date: 29 March 2000
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/48365
uniquenessblow upsmall initial datalong-time asymptoticsdamped Boussinesq equationlong waves on the surface of shallow water
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Related Items (11)
Global existence and long-time behavior of the initial-boundary value problem for the dissipative Boussinesq equation ⋮ Longtime dynamics of the damped Boussinesq equation ⋮ Symmetry Analysis and Conservation Laws for Some Boussinesq Equations with Damping Terms ⋮ Cauchy problem for the multi-dimensional Boussinesq type equation ⋮ On double reductions from symmetries and conservation laws for a damped Boussinesq equation ⋮ Global attractors for the semilinear beam equation with localized viscosity ⋮ Global existence and nonexistence of the initial-boundary value problem for the dissipative Boussinesq equation ⋮ Global well-posedness for strongly damped multidimensional generalized Boussinesq equations ⋮ Dynamics for the damped Boussinesq equation with delay ⋮ On the Cauchy problem for one dimension generalized Boussinesq equation ⋮ Asymptotic behavior for the damped Boussinesq equation with critical nonlinearity
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