By Peter Markowich

This ebook provides chosen issues in technological know-how and engineering from an applied-mathematics standpoint. The defined typical, socioeconomic, and engineering phenomena are modeled through partial differential equations that relate kingdom variables reminiscent of mass, pace, and effort to their spatial and temporal adaptations. usually, those equations are hugely nonlinear; in lots of situations they're platforms, they usually characterize demanding situations even for the main sleek and complex mathematical and numerical-analytic strategies. 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 trend formation on animal skins, kinetics of rarified gases, loose limitations, semiconductor units, and socioeconomic techniques. each one subject is in brief brought in its clinical or engineering context, via a presentation of the mathematical versions within the type of partial differential equations with a dialogue in their easy mathematical homes. the writer illustrates every one bankruptcy by means of a chain of his personal top quality pictures, which exhibit that partial differential equations are robust 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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