Filtration in Porous Media and Industrial Application : Lectures Given at the 4th Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) Held in Cetraro, Italy, August 24-29, 1998

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. M. Espedal, K.h.karlsen: Numerical Solution Of Reservoir Flow Models Based On Large Time Step Operator Splitting Algorithms -- A. Fasano: Filtration Problems In Various Industrial Processes -- A. Mikelic: Homogenization Theory And Applications To Filtration Through Porous Media. M.s. Espedal, A. Fasano, A. Mikelić ; Editor, A. Fasano. Includes Bibliographical References. Some general facts about filtration through porous media / A. Fasano Numerical solution of reservoir flow models based on large time step operator splitting algorithms / M. Espedal, K.H. Karlsen Filtration problems in various industrial processes / A. Fasano Homogenization theory and applications to filtration through porous media / A. Mikelić. Filtration of fluids through porous media is a phenomenon occurring in several natural processes, as well as in an incredible variety of technological applications.