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math.AP2017
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…
math.AP2014★ 2 cited
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…