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Lattice Boltzmann study on Kelvin-Helmholtz instability: the roles of velocity and density gradients
Soft Condensed Matter (cond-mat.soft) Cellular Automata and Lattice Gases (nlin.CG) Computational Physics (physics.comp-ph) Plasma Physics (physics.plasm-ph)
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2010/11/10
A two-dimensional lattice Boltzmann model with 19 discrete velocities for compressible Euler equations is proposed (D2V19-LBM). The fifth-order Weighted Essentially Non-Oscillatory (5th-WENO) finite d...
Development of instability of dark solitons generated by a flow of Bose-Einstein condensate past a concave corner
Pattern Formation and Solitons (nlin.PS) Quantum Gases (cond-mat.quant-gas)
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2010/11/10
The stability of dark solitons generated by a supersonic flow of a Bose-Einstein condensate past a concave corner (or a wedge) is studied. It is shown that solitons in the dispersive shock wave genera...
Completely integrable Hamiltonian systems with weak Lyapunov instability or all periodic orbits on non-compact level sets
Completely integrable Hamiltonian system weak Lyapunov instability or all periodic orbits non-compact level sets
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2010/12/1
The aim of this paper is to introduce a class of Hamiltonian autonomous systems in dimension 4 which are completely integrable and their dynamics is described in all details.