[1] We present a model for the study of the effect of rheological hysteresis on compaction in sedimentary basins, when surface loading and unloading occurs. When compaction is slow (sedimentation rate is large and/or permeability is small), the hysteresis has little effect on the basal compaction layer, but in the more realistic case where compaction is fast (i.e., sedimentation is slow and/or ...

We introduce a maskless lithography tool and optically-initiated diffusive photopolymer that enable arbitrary two-dimensional gradient index (GRIN) polymer lens profiles. The lithography tool uses a pulse-width modulated deformable mirror device (DMD) to control the 8-bit gray-scale intensity pattern on the material. The custom polymer responds with a self-developing refractive index profile th...

In this work we consider the question of whether a simple diffusive model can explain scent tracking behaviours found in nature. For behaviour to occur, both concentration and its gradient must be above some threshold. Applying these conditions solutions various diffusion equations, find that purely cannot simultaneously satisfy when parameters are experimentally observed range. This demonstrat...

We consider a parabolic equation driven by nonlinear diffusive operator and we obtain gradient estimate in the domain where takes place. This depends on structural constants of equation, geometry ambient space initial boundary data. As byproduct, one easily obtains universal interior estimate, not depending The setting taken into account includes sourcing terms general diffusion coefficients. r...

A major gap in understanding nanomaterials behaviour the environment is a lack of reliable tools to measure their available concentrations. In this research we use diffusive gradients thin films (DGT) for measuring concentrations zinc oxide nanoparticles (ZNO NPs) soils. Available nanoparticle were assessed by difference, using paired DGT devices with and without 1000 MWCO dialysis membranes ex...

In the present paper, the theoretical investigation of the double-diffusive convection in a micropolar fluid layer heated and soluted from below saturating a porous medium is considered. For a flat fluid layer contained between two free boundaries, an exact solution is obtained. A linear stability analysis theory and normal mode analysis method have been used. For the case of stationary convect...