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Interface dynamics of the porous medium equation with a bistable reaction term
degenerate diffusion singular perturbation sharp interface limit population dynamics
2011/9/14
Abstract: We consider a degenerate partial differential equation arising in population dynamics, namely the porous medium equation with a bistable reaction term. We study its asymptotic behavior as a ...
A New Type of Traveling Interface Modulations in a Catalytic Surface Reaction
Traveling Interface Modulations spatially separated domains
2011/7/6
A new type of traveling interface modulations has been observed in the NH$_3$ + O$_2$ reaction on a Rh(110) surface. A model is set up which reproduces the effect, which is attributed to diffusional m...
Energy stable and momentum conserving interface stabilised finite element method for the incompressible Navier-Stokes equations
Finite element method stabilised finite element methods
2011/3/3
An interface stabilised finite element method for the incompressible Navier-Stokes
equations is presented. The method inherits the attractive stabilising mechanism of upwinded discon-tinuous Galerkin...
Carleman estimates for elliptic operators with jumps at an interface: Anisotropic case and sharp geometric conditions
Carleman estimate elliptic operator non-smooth coecient quasimode
2011/2/21
We consider a second-order selfadjoint elliptic operator with an anisotropic di usion matrix having a jump across a smooth hypersurface. We prove the existence of a weight-function such that a Carlema...