The fundamental mechanisms causing crystalline symmetry in matter at low temperature and pressure are not yet understood’), though there has been some recent progress”‘4. In particular in”,“) we considered two-dimensional models of particles interacting through a two body force consisting of a hard core and short range attraction (modelling a molecular force). One expects the ground state of su...

Surface tension of a osteoblast cell in a micro chip is analysed. The effects of electrical pulse, electrode configuration ,micro channel dimension and specific property of suspension media on cell surface tension of osteoblast cell, were investigated. The effective surface tension of outer layer is exposed at micro scale pulse but for inner layer it is in peco scale pulse although pulse interv...

In this paper we derive estimates to the free boundary problem for the Euler equation with surface tension, and without surface tension provided the Rayleigh-Taylor sign condition holds. We prove that as the surface tension tends to zero, when the Rayleigh-Taylor condition is satisfied, solutions converge to the Euler flow with zero surface tension.

In this paper, we prove the local well-posedness of the water wave problem with surface tension in the case of finite depth by working in the Eulerian setting. For the flat bottom, as surface tension tends to zero, the solution of the water wave problem with surface tension converges to the solution of the water wave problem without surface tension.