41 citations · 41 across the 2 of their papers we have counts for
3 papers
math.AP2006★ 41 cited
Decay of weak solutions to the 2D dissipative quasi-geostrophic equation
Cesar J. Niche, Maria E. Schonbek
We address the decay of the norm of weak solutions to the 2D dissipative quasi-geostrophic equation. When the initial data is in only, we prove that the norm tends to z…
math.DS2003
Non-contractible periodic orbits of Hamiltonian flows on twisted cotangent bundles
Cesar J. Niche
For many classes of symplectic manifolds, the Hamiltonian flow of a function with sufficiently large variation must have a fast periodic orbit. This principle is the base of the no…
math.DS2001
Topological entropy of a magnetic flow and the growth of the number of trajectories
Cesar J. Niche
Final version. To appear in Discrete and Continuous Dynamical Systems - A.