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

By Peter Markowich

ISBN-10: 3540346457

ISBN-13: 9783540346456

ISBN-10: 3662518120

ISBN-13: 9783662518120

This ebook offers chosen themes in technology and engineering from an applied-mathematics perspective. The defined typical, socioeconomic, and engineering phenomena are modeled via partial differential equations that relate country variables reminiscent of mass, speed, and effort to their spatial and temporal diversifications. generally, those equations are hugely nonlinear; in lots of circumstances they're platforms, they usually characterize demanding situations even for the main smooth and complex 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 approaches similar to development formation on animal skins, kinetics of rarified gases, loose obstacles, semiconductor units, and socioeconomic strategies. every one subject is in short brought in its medical or engineering context, through a presentation of the mathematical types within the kind of partial differential equations with a dialogue in their uncomplicated mathematical houses. the writer illustrates each one bankruptcy through a chain of his personal high quality photos, 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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