By Peter Markowich

This booklet provides chosen issues in technology and engineering from an applied-mathematics viewpoint. The defined ordinary, socioeconomic, and engineering phenomena are modeled by way of partial differential equations that relate nation variables comparable to mass, speed, and effort to their spatial and temporal adaptations. more often than not, those equations are hugely nonlinear; in lots of instances they're platforms, and so they signify demanding situations even for the main sleek and complicated mathematical and numerical-analytic thoughts. the chosen issues replicate the longtime medical pursuits of the writer. They contain flows of fluids and gases, granular-material flows, organic procedures corresponding to development formation on animal skins, kinetics of rarified gases, loose barriers, semiconductor units, and socioeconomic tactics. every one subject is in short brought in its clinical or engineering context, by means of a presentation of the mathematical versions within the type of partial differential equations with a dialogue in their uncomplicated mathematical houses. the writer illustrates every one bankruptcy by means of a sequence of his personal top quality pictures, which show that partial differential equations are strong instruments for modeling a wide number of phenomena influencing our day-by-day lives.

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Applied Partial Differential Equations:: A Visual Approach by Peter Markowich


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