Approximation of ill-posed boussinesq equations

DOI10.1080/1468936042000269587zbMath1072.35151OpenAlexW2160821981MaRDI QIDQ4659545

Claudia Valls, Diogo Aguiar Gomes

Publication date: 21 March 2005

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1468936042000269587

zbMATH Keywords

Boussinesq equationscentre manifoldill-posed approximation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Nonlinear higher-order PDEs (35G20) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Cites Work

• A smooth center manifold theorem which applies to some ill-posed partial differential equations with unbounded nonlinearities
• Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
• Hamiltonian and Lagrangian flows on center manifolds with applications to elliptic variational problems