Decay and scattering of small solutions for Rosenau equations

DOI10.1016/j.amc.2011.05.060zbMath1231.35252OpenAlexW2130011391MaRDI QIDQ656665

Juan-Miguel Gracia

Publication date: 13 January 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.05.060

zbMATH Keywords

dynamics of dense discrete systemsRosenau equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Related Items (7)

The initial-boundary value problems for a class of sixth order nonlinear wave equation ⋮ Lie symmetry reductions and exact solutions to the Rosenau equation ⋮ Global existence and asymptotic behavior of solution for Rosenau equation with Stokes damped term ⋮ Solitary wave formation from a generalized Rosenau equation ⋮ Convergence analysis of the Galerkin finite element method for the fourth-order Rosenau equation ⋮ Blow-up of solutions for a class of sixth order nonlinear strongly damped wave equation ⋮ A conservative numerical scheme for Rosenau-RLW equation based on multiple integral finite volume method

Cites Work

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• The Cauchy problem for the Rosenau equation
• Decay and scattering of solutions for a generalized Boussinesq equation
• Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
• Decay and scattering of small solutions of a generalized Boussinesq equation
• Strong instability of solitary-wave solutions of a generalized Boussinesq equation
• Blow-up and scattering of solution for a generalized Boussinesq equation
• Asymptotic behavior of solutions to the Rosenau-Burgers equation with a periodic initial boundary
• Commutator estimates and the euler and navier-stokes equations
• Finite element galerkin solutions for the rosenau equation
• Instability and Blow-Up of Solutions to a Generalized Boussinesq Equation

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