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Discrete & Continuous Dynamical Systems - B

February 2005 , Volume 5 , Issue 1

A special issue on Recent Advances in Vortex Dynamics and Turbulence

Guest Editors: Chjan C. Lim and Ka Kit Tung

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Introduction: Recent advances in vortex dynamics and turbulence
Chjan C. Lim and Ka Kit Tung
2005, 5(1): i-i doi: 10.3934/dcdsb.2005.5.1i +[Abstract](871) +[PDF](27.2KB)
Statistical equilibrium of the Coulomb/vortex gas on the unbounded 2-dimensional plane
Syed M. Assad and Chjan C. Lim
2005, 5(1): 1-14 doi: 10.3934/dcdsb.2005.5.1 +[Abstract](700) +[PDF](403.0KB)
A generalized Poincaré-Birkhoff theorem with applications to coaxial vortex ring motion
Denis Blackmore, Jyoti Champanerkar and Chengwen Wang
2005, 5(1): 15-33 doi: 10.3934/dcdsb.2005.5.15 +[Abstract](883) +[PDF](211.4KB)
Dynamics of a circular cylinder interacting with point vortices
A. V. Borisov, I. S. Mamaev and S. M. Ramodanov
2005, 5(1): 35-50 doi: 10.3934/dcdsb.2005.5.35 +[Abstract](830) +[PDF](236.2KB)
Reversible Hamiltonian Liapunov center theorem
Claudio A. Buzzi and Jeroen S.W. Lamb
2005, 5(1): 51-66 doi: 10.3934/dcdsb.2005.5.51 +[Abstract](844) +[PDF](183.7KB)
Non-universal features of forced 2D turbulence in the energy and enstrophy ranges
S. Danilov
2005, 5(1): 67-78 doi: 10.3934/dcdsb.2005.5.67 +[Abstract](907) +[PDF](242.4KB)
On the double cascades of energy and enstrophy in two dimensional turbulence. Part 1. Theoretical formulation
Eleftherios Gkioulekas and Ka Kit Tung
2005, 5(1): 79-102 doi: 10.3934/dcdsb.2005.5.79 +[Abstract](905) +[PDF](224.9KB)
On the double cascades of energy and enstrophy in two dimensional turbulence. Part 2. Approach to the KLB limit and interpretation of experimental evidence
Eleftherios Gkioulekas and Ka Kit Tung
2005, 5(1): 103-124 doi: 10.3934/dcdsb.2005.5.103 +[Abstract](734) +[PDF](198.6KB)
The Dirichlet quotient of point vortex interactions on the surface of the sphere examined by Monte Carlo experiments
Joseph Nebus
2005, 5(1): 125-136 doi: 10.3934/dcdsb.2005.5.125 +[Abstract](977) +[PDF](779.0KB)
The constrained planar N-vortex problem: I. Integrability
P.K. Newton, M. Ruith and E. Upchurch
2005, 5(1): 137-152 doi: 10.3934/dcdsb.2005.5.137 +[Abstract](796) +[PDF](476.0KB)
Theory and simulation of real and ideal magnetohydrodynamic turbulence
John V. Shebalin
2005, 5(1): 153-174 doi: 10.3934/dcdsb.2005.5.153 +[Abstract](817) +[PDF](1070.0KB)

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