This article is concerned with gradient flows in asymmetric metric spaces, that is, spaces with a topology induced by an asymmetric metric. Such asymmetry appears naturally in many applications, e.g., in mathematical models for materials with hysteresis. A framework of asymmetric gradient flows is established under the assumption that the metric is weakly lower semicontinuous in the second argu...

This paper presents an issue related to interior architectural environments, which is currently being investigated through an empirical research program entitled the NetWorkPlaceTM© study. It is delivered from a speculative standpoint which invites consideration and feedback. The radical structuralist conception of Castells’ network society is adopted as the position from which to explore the e...

we prove the existence of steady 2-dimensional flows, containing a bounded vortex, and approaching a uniform flow at infinity. the data prescribed is the rearrangement class of the vorticity field. the corresponding stream function satisfies a semilinear elliptic partial differential equation. the result is proved by maximizing the kinetic energy over all flows whose vorticity fields are rearra...

numerical investigation of 3d electrokinetic mixing through micromixer has performed both qualitatively and quantitatively. in order to reduce numerical expenses of 3d flows, we implement the helmholtz-smoluchowski method for the numerical modeling of electroosmotic flows. according to the previous study of electrokinetic mixing inside the heterogeneous microchannels, existence of the vortexes ...

a numerical study of 3d electrokinetic flows through micromixers was performed. the micromixers considered here consisted of heterogeneous rectangular microchannels with prescribed patterns of zeta-potential at their walls. numerical simulation of electroosmotic flows within heterogeneous channels requires solution of the navier-stokes, ernest-plank and species concentration equations. it is kn...