3 citations · 5 across the 3 of their papers we have counts for
3 papers
A determining form for the subcritical surface quasi-geostrophic equation
Michael S. Jolly, Vincent R. Martinez, Tural Sadigov +1
We construct a determining form for the surface quasi-geostrophic (SQG) equation with subcritical dissipation. In particular, we show that the global attractor for this equation ca…
Determining form and data assimilation algorithm for weakly damped and driven Korteweg-de Vries equaton- Fourier modes case
Michael S. Jolly, Tural Sadigov, Edriss S. Titi
We show that the global attractor of a weakly damped and driven Korteweg-de Vries equation (KdV) is embedded in the long-time dynamics of an ordinary differential equation called a…
A determining form for the damped driven Nonlinear Schrödinger Equation- Fourier modes case
Michael S. Jolly, Tural Sadigov, Edriss S. Titi
In this paper we show that the global attractor of the 1D damped, driven, nonlinear Schrödinger equation (NLS) is embedded in the long-time dynamics of a determining form. The dete…