The Urbanization Process with Moving Boundary

Moving Boundary Applications in Process and Interconnect TCAD

[3] M. Burger, F. Haußer, C. Stöcker, A. Voigt, A level set approach to anistropic flows with curvature regularization, Preprint (2006), submitted. [4] W.C. Carter, J.E. Taylor, J.W. Cahn, Variational methods for microstructural evolution, JOM 49 (1997), 30-36. [5] K.Deckelnick, G.Dziuk, A fully discrete numerical scheme for weighted mean curvature flow, Numer. Math. 91 (2002), 423-452. [6] F. ...

Particle Creation by a Moving Boundary with Robin Boundary Condition

We consider a massless scalar field in 1+1 dimensions satisfying a Robin boundary condition (BC) at a non-relativistic moving boundary. We derive a Bogoliubov transformation between input and output bosonic field operators, which allows us to calculate the spectral distribution of created particles. The cases of Dirichlet and Neumann BC may be obtained from our result as limiting cases. These t...

Multiple determinations with moving-boundary electrophoresis.

OVING-BOUNDARY BLECTROPUORESIS is a widely used technic for the investigation of colloidal systems. A limitation of this method, however, is the considerable amount of time required for a single experiment. It is particularly time consuming where the accumulation of large amounts of data is necessary. Furthermore, in the majority of instruments only 1 experiment at a time, and usually a total o...

Moving Boundary Problems with Nonlinear Diffusion

On the Stochastic Burgers Equation with Moving Boundary

This paper studies the stochastic Burgers equation with moving boundaries. The solution is obtained numerically by employing differentiation matrices which are derived from spectral collocation. The stochastic term is considered only to be timedependent. It is argued that the solely time-dependent stochastic term does not create considerable amount of perturbation in the wave profile between th...