Orbital Stability of Standing Waves for Dispersive Models with Nonlocal Nonlinearity
We consider orbital stability for several dispersive type PDEs including the nonlinear fractional Schrödinger equation with singular and unbounded potentials. We show in some cases the instability by constructing counterexamples. This reports our recent joint works with Shihui Zhu, Nyla Basharat, Hichem Hajaiej and Yi Hu.
Joint Mathematics Meetings (JMM)
"Orbital Stability of Standing Waves for Dispersive Models with Nonlocal Nonlinearity."
Mathematical Sciences Faculty Presentations.