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Symmetry-breaking perturbations on the global attractor of the Kuramoto--Sivashinsky equation
(2017)
We study symmetry-breaking of solutions on the global attractor of the Kuramoto--Sivashinsky equation. In our theory we prove that trajectories which result from small perturbations of a point on the global attractor stay ...
On the Solvability of Inverse Problems Arising From the Two-Layer Lorenz '96 System
(2022)
The two-layer Lorenz ’96 model consists of two linearly coupled systems of ODEs with two distinct time scales. This simple model was designed to reflect the patterns of local instability and growth represented by the ...
On the Solvability of Inverse Problems Arising From the Two-Layer Lorenz '96 System
(2023)
The two-layer Lorenz ’96 model consists of two linearly coupled systems of ODEs with two distinct time scales. This simple model was designed to reflect the patterns of local instability and growth represented by the ...