Sentence examples for many complex physical from inspiring English sources

Many complex physical systems can be modeled and better understood as complex networks [1 3].

Many complex physical systems are the interconnection of lower-dimensional subsystems.

Many complex physical processes that contribute to earthquake generation, such as fault friction and fault interactions, are not well known.

The simulation tool needs to involve many complex physical phenomena to be able to predict accurately the flow and thermal field in the pool type reactor.

The equation we studied in the present paper exhibits a blow-up behaviour at time and space variables, which occurs in many complex physical processes, such as mechanics processes, the convection-diffusion process and the bioprocess with long memory.

These types of singular behaviours [1 11] as well as impulsive phenomena [12 21] often exhibit some blow-up properties [22, 23] which occur in many complex physical processes, for example, in mechanics process [1], the stress near the crack tip in elastic fracture exhibits a singularity of (r^{-0.5}), where r is the distance measured from the crack tip.

Computer simulation of many important complex physical systems has reached a plateau because most conventional techniques are ill equipped to deal with the multi-scale nature of such systems.

Efficient implementation of matrix algebra is important to the performance of many large and complex physical models.

Many of the complex physical processes relevant for compositional multi-phase flow in porous media are well understood at the pore-scale level.

In order to improve topical drug delivery, many kinds of techniques, including complex physical enhancement strategies, such as iontophoresis [ 17], sonophoresis [ 18], microneedle [ 19], and electroporation [ 20], and lipid vesicular systems such as emulsions [ 21], microemulsions [ 22], and liposomal-based delivery systems [ 23, 24], have been used to overcome the barrier of SC.

Fractional calculus is a new research area of analytical mathematics which provides many useful tools for modelling various complex physical and biological processes with long memory [24 31].