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Entropy, Lyapunov exponents and the volume growth of boundary distortion under the action of dynamical systems
Lyapunov exponents the volume growth of boundary distortion the action of dynamical systems
2012/4/17
We study the connection between the Lyapunov exponents and the volume growth of boundary distortion of regions in the phase space of the dynamical system.
The global strong solution for Navier-Stokes equations in 3D thin domains with Navier-friction boundary conditions
3D Navier-Stokes equations thin domains Navier-friction boundary conditions attractors
2011/10/19
In this paper, we consider Navier-Stokes equations in thin 3D thin domain with more general Navier-friction boundary conditions (2.4) (compare with boundary condition in [1]). We prove the global exis...
A boundary matching micro/macro decomposition for kinetic equations
boundary matching micro/macro decomposition kinetic equations
2011/1/21
We introduce a new micro/macro decomposition of collisional kinetic equations which naturally incorporates the exact space boundary conditions.
A single-axis flux decay model including an excitationcontrol model proposed in [12,14,16] is studied. As thebifurcation parameter $P_{m}$ (input power to the generator)varies, the system exhibits dyn...