8 citations · 20 across the 5 of their papers we have counts for
5 papers
Mixing and coherent structures in two-dimensional viscous flows
H. W. Capel, R. A. Pasmanter
We introduce a dynamical description based on a probability density of the vorticity in two-dimensional viscous flows such that the average vorticity evolves accor…
Evolution of the vorticity-area density during the formation of coherent structures in two-dimensional flows
H. W. Capel, R. A. Pasmanter
It is shown: 1) that in two-dimensional, incompressible, viscous flows the vorticity-area distribution evolves according to an advection-diffusion equation with a negative, time de…
Integrable Quantum Mappings
H. W. Capel, F. W. Nijhoff
We discuss the canonical structure of a class of integrable quantum mappings, i.e. iterative canonical transformations that can be interpreted as a discrete dynamical system. As pa…
Integrability and Fusion Algebra for Quantum Mappings
F. W. Nijhoff, H. W. Capel
We apply the fusion procedure to a quantum Yang-Baxter algebra associated with time-discrete integrable systems, notably integrable quantum mappings. We present a general construct…
Integrable Quantum Mappings and Quantization Aspects of Integrable Discrete-time Systems
F. W. Nijhoff, H. W. Capel
We study a quantum Yang-Baxter structure associated with non-ultralocal lattice models. We discuss the canonical structure of a class of integrable quantum mappings, i.e. canonical…