scholarly journals On the free boundary problem of three-dimensional incompressible Euler equations

2008 ◽  
Vol 61 (7) ◽  
pp. 877-940 ◽  
Author(s):  
Ping Zhang ◽  
Zhifei Zhang
Keyword(s):  
Free Boundary ◽  
Boundary Problem ◽  
Euler Equations ◽  
Free Boundary Problem ◽  
Three Dimensional ◽  
Incompressible Euler Equations ◽  
Incompressible Euler

scholarly journals Finite time singularities for the free boundary incompressible Euler equations

2013 ◽  
Vol 178 (3) ◽  
pp. 1061-1134 ◽  
Author(s):  
Angel Castro ◽  
Diego Córdoba ◽  
Charles Fefferman ◽  
Francisco Gancedo ◽  
Javier Gómez-Serrano
Keyword(s):  
Free Boundary ◽  
Euler Equations ◽  
Finite Time ◽  
Incompressible Euler Equations ◽  
Time Singularities ◽  
Incompressible Euler

scholarly journals Hopf Bifurcation with the Spatial Average of an Activator in a Radially Symmetric Free Boundary Problem

2010 ◽  
Vol 2010 ◽  
pp. 1-18
Author(s):  
YoonMee Ham
Keyword(s):  
Hopf Bifurcation ◽  
Free Boundary ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Three Dimensional ◽  
Reaction Diffusion ◽  
Interface Problem ◽  
Spatial Average ◽  
Radially Symmetric Solutions ◽  
Dimensional Ball

An interface problem derived by a bistable reaction-diffusion system with the spatial average of an activator is studied on ann-dimensional ball. We analyze the existence of the radially symmetric solutions and the occurrence of Hopf bifurcation as a parameter varies in two and three-dimensional spaces.

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