Continuum Modeling

An Approach Through Practical Examples

  • Adrian┬áMuntean

Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Also part of the SpringerBriefs in Mathematical Methods book sub series (BRIEFSMATHMETH)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Adrian Muntean
    Pages 1-17
  3. Adrian Muntean
    Pages 19-56
  4. Adrian Muntean
    Pages 57-69
  5. Back Matter
    Pages 71-73

About this book


This book develops continuum modeling skills and approaches the topic from three sides: (1) derivation of global integral laws together with the associated local differential equations, (2) design of constitutive laws and (3) modeling boundary processes. The focus of this presentation lies on many practical examples covering aspects such as coupled flow, diffusion and reaction in porous media or microwave heating of a pizza, as well as traffic issues in bacterial colonies and energy harvesting from geothermal wells. The target audience comprises primarily graduate students in pure and applied mathematics as well as working practitioners in engineering who are faced by nonstandard rheological topics like those typically arising in the food industry.


Balance laws for extensive quantities Diffusion and reaction in porous media Global integral laws Modeling boundary processes Nonstandard rheological topics

Authors and affiliations

  • Adrian┬áMuntean
    • 1
  1. 1.Department of Mathematics and Computer ScienceEindhoven University of TechnologyEindhovenThe Netherlands

Bibliographic information

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