Paper of Anna Kostianko to appear in the Proceedings of the Royal Society of London

The paper “Bi-Lipschitz Mane projectors and finite-dimensional reduction for complex Ginzburg-Landau equation“, by Anna Kostianko, has been accepted for publication in Proceedings A of the Royal Society of London. A link to the final form arXiv version is here. The paper presents a new method of establishing the finite-dimensionality of limit dynamics for semilinear parabolic systems with cross diffusion terms. The main theorem and its corollary are shown below.

The main theorem of the paper.
Application of the main theorem to the 3D CGL equation.