Nonlinear Instability for the Critically Dissipative Quasi-Geostrophic Equation
We prove that linear instability implies non-linear instability in the energy norm for the critically dissipative quasi-geostrophic equation.
math.AP↗
arXiv subjects
Vlad Vicol
Publications and source records attributed to Vlad Vicol.
A Combinatorial Classification of Postsingularly Finite Complex Exponential Maps
We give a combinatorial classification of postsingularly finite exponential maps in terms of external addresses starting with the entry 0. This is an extension of the classification results for critically preperiodic polynomials \cite{BFH} to exponential maps. Our proof relies on the topological characterization of postsingularly finite exponential maps given recently in \cite{HSS}. Our results illustrate once again the fruitful interplay between combinatorics, topology and complex structure which has often been successful in complex dynamics.
math.DS↗