Sökning: "John Fabricius"
Hittade 5 avhandlingar innehållade orden John Fabricius.
1. Homogenization of some problems in hydrodynamic lubrication involving rough boundaries
Sammanfattning : 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. LÄS MER
2. Homogenization theory with applications in tribology
Sammanfattning : 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. LÄS MER
3. Pressure-driven flows in thin and porous domains
Sammanfattning : 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. LÄS MER
4. On pressure-driven Hele-Shaw flow
Sammanfattning : 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. LÄS MER
5. Homogenization of some new mathematical models in lubrication theory
Sammanfattning : 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. LÄS MER