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This book is devoted to the presentation of some flow problems in porous media having relevant industrial applications. The main topics covered are: the manufacturing of composite materials, the espresso coffee brewing process, the filtration of liquids through diapers, various questions about flow problems in oil reservoirs and the theory of homogenization. The aim is to show that filtration problems arising in very practical industrial context exhibit interesting and highly nontrivial mathematical aspects. Thus the style of the book is mathematically rigorous, but specifically oriented towards applications, so that it is intended for both applied mathematicians and researchers in various areas of technological interest. The reader is required to have a good knowledge of the classical theory of PDE and basic functional analysis.

Filters and filtration --- Fluid dynamics --- Porous materials --- Industrial applications --- Mathematical models --- Mathematical Theory --- Applied Mathematics --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Congresses --- Condensed matter. --- Partial differential equations. --- Thermodynamics. --- Mechanics. --- Applied mathematics. --- Engineering mathematics. --- Condensed Matter Physics. --- Partial Differential Equations. --- Classical Mechanics. --- Applications of Mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Chemistry, Physical and theoretical --- Mechanics --- Heat --- Heat-engines --- Partial differential equations --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Fluid dynamics - Congresses. --- Filters and filtration - Mathematical models - Congresses. --- Filters and filtration - Industrial applications - Congresses. --- Porous materials - Congresses.