We consider acoustic wave propagation described by Helmholtz equation and involving homogenized transmission conditions imposed along a thin perforated interface separati [...]

The notion of strong heterogeneity is considered in the sense of material scaling: the idea is to study mathematical models where the coefficients of the partial differe [...]

We consider the problem of wave propagation in periodically heterogeneous composite plates with high contrasts in elastic coefficients. The unfolding method of homogeniz [...]

This note deals with the elector-osmosis phenomena in the cortical bone micro-structure considered as porous medium with one porosity level. The microscopic model is give [...]

We consider acoustic wave propagation in waveguides which are equipped with perforated plates in a form of single or multi-plate panels. Recently we developed mathematica [...]

The mathematical modelling of 3D blood flow coupled with contrast medium propagation in patient-specific human vessels ranks among the most computationally-demanding task [...]

The paper deals with modeling the process of oil expression and filtration in rotating screw pressing machine. In this pilot study we consider linearized behavior of the [...]

We consider a composite medium made of weakly piezoelectric inclusions periodically distributed in the matrix which is made of a different piezoelectric material. The med [...]

The paper deals with transmission conditions imposed on the interface plane separating two halfspaces occupied by the acoustic medium. The conditions are obtained as the [...]

The paper summarizes recent efforts in the homogenization based multiscale modelling of biological tissues in the context of the fluid-structure interaction at the micro [...]