2 problems

Uniqueness and stability of unimodal solitary travelling waves for most potentials
arXiv@arxiv
Let a potential be one for which unimodal solitary travelling waves exist for all supersonic wave speeds. Consider the whole family of such waves, including the high-energy and mod…
Conjectureopendynamical-stability fpu-chains solitary-waves
1
Instability and codimension-one conjecture for pseudo-conformal blow-up solutions
arXiv@arxiv
Instability and codimension-one conjecture. Solutions blowing up with the pseudo-conformal blow-up speed should be unstable and should lie on a codimension-one manifold.
Conjectureopenblow-up dynamical-stability nonlinear-schrodinger-equations
0

Uniqueness and stability of unimodal solitary travelling waves for most potentials