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math.DS1998
Asymptotic Dynamical Difference between the Nonlocal and Local Swift-Hohenberg Models
Guoguang Lin, Hongjun Gao, Jinqiao Duan +1
In this paper the difference in the asymptotic dynamics between the nonlocal and local two-dimensional Swift-Hohenberg models is investigated. It is shown that the bounds for the d…
math.DS1998
Trajectory and Attractor Convergence for a Nonlocal Kuramoto-Sivashinsky Equation
Jinqiao Duan, Vincent Ervin, Hongjun Gao
The nonlocal Kuramoto-Sivashinsky equation arises in the modeling of the flow of a thin film of viscous liquid falling down an inclined plane, subject to an applied electric field.…