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18 papers · 1 filter
Talbot Effect for the Manakov System on the Torus
Zihan Yin, Jing Kang, Xiaochuan Liu +1
In this paper, the Talbot effect for the multi-component linear and nonlinear systems of the dispersive evolution equations on a bounded interval subject to periodic boundary condi…
New Revival Phenomena for Bidirectional Dispersive Hyperbolic Equations
George Farmakis, Jing Kang, Peter J. Olver +2
In this paper, the dispersive revival and fractalization phenomena for bidirectional dispersive equations on a bounded interval subject to periodic boundary conditions and disconti…
Orbital stability of periodic peakons for a new higher-order -Camassa-Holm equation
Gezi Chong, Ying Fu
Consideration here is a higher-order -Camassa-Holm equation, which is a higher-order extension of the -Camassa-Holm equation and retains some properties of the -Camassa-Ho…
Singular limit of 2D second grade fluid past an obstacle
Xiaoguang You, Aibin Zang
In this paper, we consider the 2D second grade fluid past an obstacle satisfying the standard non-slip boundary condition at the surface of the obstacle. Second grade fluid model i…
Global Well-Posedness of 2D Euler- Equations in Exterior Domain
Xiaoguang You, Aibin Zang
After casting Euler- equations into vorticity-stream function formula, we obtain some very useful estimates from the properties of the vorticity formula in exterior domain. Basi…
Global Well-Posedness of 2D Second Grade Fluid Equations in Exterior Domain
Xiaoguang You, Aibin Zang
In this article, we consider 2D second grade fluid equations in exterior domain with Dirichlet boundary conditions. For initial data , the…