Download e-book for iPad: Applied Partial Differential Equations:: A Visual Approach by Peter Markowich

By Peter Markowich

This e-book offers chosen issues in technology and engineering from an applied-mathematics viewpoint. The defined traditional, socioeconomic, and engineering phenomena are modeled by way of partial differential equations that relate nation variables resembling mass, pace, and effort to their spatial and temporal adaptations. more often than not, those equations are hugely nonlinear; in lots of instances they're platforms, they usually characterize demanding situations even for the main smooth and complicated mathematical and numerical-analytic strategies. the chosen themes replicate the longtime medical pursuits of the writer. They comprise flows of fluids and gases, granular-material flows, organic techniques corresponding to development formation on animal skins, kinetics of rarified gases, unfastened obstacles, semiconductor units, and socioeconomic techniques. every one subject is in short brought in its medical or engineering context, by way of a presentation of the mathematical types within the kind of partial differential equations with a dialogue in their easy mathematical houses. the writer illustrates each one bankruptcy via a chain of his personal top of the range images, 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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