Long time existence for the Boussinesq -- Full Dispersion systems
Jean-Claude Saut, Li Xu
TL;DR
This paper proves the long-term existence of solutions for Boussinesq-Full Dispersion systems modeling internal waves, including global existence for small solutions in the two-dimensional Hamiltonian case.
Contribution
It establishes the long-time existence of solutions for these systems and demonstrates global existence for small solutions in the 2D Hamiltonian case.
Findings
Long time existence of solutions for Boussinesq-Full Dispersion systems.
Global existence of small solutions in the 2D Hamiltonian case.
Abstract
We establish the long time existence of solutions for the "Boussinesq-Full Dispersion" systems modeling the propagation of internal waves in a two-layer system. For the two-dimensional Hamiltonian case we prove the global existence of small solutions of the corresponding systems.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Navier-Stokes equation solutions · Nonlinear Waves and Solitons