By Peter Markowich

ISBN-10: 3540346457

ISBN-13: 9783540346456

ISBN-10: 3662518120

ISBN-13: 9783662518120

This publication offers chosen subject matters in technological know-how and engineering from an applied-mathematics standpoint. The defined traditional, socioeconomic, and engineering phenomena are modeled via partial differential equations that relate kingdom variables akin to mass, speed, and effort to their spatial and temporal adaptations. commonly, those equations are hugely nonlinear; in lots of situations they're structures, and so they characterize demanding situations even for the main glossy and complex mathematical and numerical-analytic recommendations. the chosen subject matters mirror the longtime medical pursuits of the writer. They comprise flows of fluids and gases, granular-material flows, organic procedures similar to development formation on animal skins, kinetics of rarified gases, loose obstacles, semiconductor units, and socioeconomic procedures. each one subject is in brief brought in its clinical or engineering context, via a presentation of the mathematical versions within the kind of partial differential equations with a dialogue in their simple mathematical homes. the writer illustrates each one bankruptcy by means of a sequence of his personal top of the range images, which reveal that partial differential equations are robust instruments for modeling a wide number of phenomena influencing our day-by-day lives.

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