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Vanishing viscosity limit for a coupled Navier-Stokes/Allen-Cahn system
Navier–Stokes Euler Allen–Cahn vanishing viscosity limit
2011/2/21
In this paper, we study the vanishing viscosity limit for a coupled Navier-Stokes/Allen-Cahn
system in a bounded domain. We first show the local existence of smooth solutions of the Euler/Allen-Cahn ...
3D Dune Dynamics as a Coupled Dynamics of 2D Cross-Sections
2D Cross-Sections 3D Dune Dynamics wind direction
2010/4/2
To analyze theoretically the stability of the shape and the migration process of transverse dunes and barchans, we propose a {\it skeleton model} of 3D dunes described with coupled dynamics of 2D cros...
Hodograph solutions of the dispersionless coupled KdV hierarchies, critical points and the Euler-Poisson-Darboux equation
Hodograph solutions scalar function Euler-Poisson-Darboux equation
2010/4/2
It is shown that the hodograph solutions of the dispersionless coupled KdV (dcKdV) hierarchies describe critical and degenerate critical points of a scalar function which obeys the Euler-Poisson-Darbo...
Stability and chaos in coupled two-dimensional maps on Gene Regulatory Network of bacterium E.Coli
two-dimensional maps complex networks bacterium E.Coli
2010/4/2
The collective dynamics of coupled two-dimensional chaotic maps on complex networks is known to exhibit a rich variety of emergent properties which crucially depend on the underlying network topology....