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Found 5 swedish dissertations matching the above criteria.

  2. 1. Homogenization of some problems in hydrodynamic lubrication involving rough boundaries

    Author : John Fabricius; Guy Bayada; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; partial differential equations; calculus of variations; homogenization theory; tribology; hydrodynamic lubrication; thin film flows; Reynolds equation; surface roughness; Weyl decomposition; Matematik; Mathematics; Matematik;

    Abstract : This thesis is devoted to the study of some homogenization problems with applications in lubrication theory. It consists of an introduction, five research papers (I–V) and a complementary appendix.Homogenization is a mathematical theory for studying differential equations with rapidly oscillating coefficients. READ MORE

  4. 2. Homogenization theory with applications in tribology

    Author : John Fabricius; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

    Abstract : Homogenization is a mathematical theory for studying differential equations with rapidly oscillating coefficents. Many important problems in physics with one or several microscopic length scales give rise to this kind of equations. Hence there is a need for methods that enable an efficient treatment of such problems. READ MORE

  5. 3. Pressure-driven flows in thin and porous domains

    Author : Elena Haller; Peter Wall; John Fabricius; Johan Byström; Eduard Marušic-Paloka; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Applied Mathematics; Tillämpad matematik;

    Abstract : The present thesis is devoted to the derivation of Darcy's law for incompressible viscous fluid flows in perforated and thin domains by means of homogenization techniques.  The problem of describing asymptotic flows in porous/thin domains occurs in the study of various physical phenomena such as filtration in sandy soils, blood circulation in capillaries, lubrication and heationg/cooling processes. READ MORE

  6. 4. On pressure-driven Hele-Shaw flow

    Author : Salvador Manjate; Peter Wall; John Fabricius; Johan Byström; Niklas Lundström; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Applied Mathematics; Tillämpad matematik;

    Abstract : The present licentiate thesis is devoted to the rigorous derivation of the equations governing thin-film flow of incompressible Newtonian and non-Newtonian fluids. More precisely, we consider flow in a generalized Hele-Shaw cell, which is a thin three-dimensional domain confined between two surfaces connected by cylindrical obstacles of various shapes. READ MORE

  7. 5. Homogenization of some new mathematical models in lubrication theory

    Author : Afonso Fernando Tsandzana; Peter Wall; Lars- Erik Persson; John Fabricius; Anders Holmbom; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; lubrication theory; homogenization theory; Reynolds equation; cavitation; surfaces roughness; Stokes equation; Matematik; Mathematics;

    Abstract : We consider mathematical modeling of thin film flow between two rough surfaces which are in relative motion. For example such flows take place in different kinds of bearings and gears when a lubricant is used to reduce friction and wear between the surfaces. READ MORE