A systematic approach for analyzing multiple physical processes interacting at multiple spatial and temporal scales is developed. The proposed computational framework is applied to the coupled thermo-viscoelastic composites with microscopically periodic mechanical and thermal properties. A rapidly varying spatial and temporal scales are introduced to capture the effects of spatial and temporal ...

Entrepreneurship is an important determinant of innovation and growth with uneven spatial distribution. In addition, the mechanism entrepreneurship affected by administrative hierarchies. However, driving forces behind differences are not clear. Therefore, this study aims to examine key determinants clarifying roles localisation economies intellectual property rights (IPRs) protection from 2008...

A construction of the bi-Hamiltonian structures for integrable systems on regular time scales is presented. The trace functional on an algebra of δ-pseudo-differential operators, valid on an arbitrary regular time scale, is introduced. The linear Poisson tensors and the related Hamiltonians are derived. The quadratic Poisson tensors is given by the use of the recursion operators of the Lax hier...

We propose an approach to the nonvanishing boundary value problem for integrable hierarchies based on the dressing method. Then we apply the method to the AKNS hierarchy. The solutions are found by introducing appropriate vertex operators that takes into account the boundary conditions.

in this paper, the boundary-based estimation of pressure distribution in the cardiovascular system is investigated using two dimensional flow images. the conventional methods of non-invasive estimation of pressure distribution in the cardiovascular flow domain use the differential form of governing equations. this study evaluates the advantages of using the integral form of the equations in the...

truncated gaussian simulation (tgs) is a well-known method to generate realizations of the ore domains located in a spatial sequence. in geostatistical framework geological domains are normally utilized for stationary assumption. the ability to measure the uncertainty in the exact locations of the boundaries among different geological units is a common challenge for practitioners. as a simple a...