Search for dissertations about: "calculus of variations"

Showing result 1 - 5 of 9 swedish dissertations containing the words calculus of variations.

  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. Dynamic analyses of structures with applied rubber

    Author : Magnus Alvelid; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Viscoelasticity; Series expansion; Finite; Fractional calculus; Optimization;

    Abstract : The aim with the present thesis has been to develop efficient, practical and accuratemethods in order to model rubber in dynamic analyses, with emphasis on passive constrainedlayer damping materials. A fractional order viscoelastic constitutive model ismapped onto experimental data from a measurement standard using a vibrating beamtechnique. READ MORE

  5. 3. Barycentric Markov processes and stability of stochastic integrators

    Author : Philip Kennerberg; Matematisk statistik; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; geometric probability; dirichlet processes; Markov processes; stochastic integration; interacting particle systems;

    Abstract : This thesis consists of four papers that broadly concerns two dierent topics. The rsttopic is so-called barycentric Markov processes. By a barycentric Markov process wemean a process that consists of a point/particle system evolving in (discrete) time,whose evolution depends in some way on the mean value of the current points in thesystem. READ MORE

  6. 4. An analytic approach to Briancon-Skoda type theorems

    Author : Jacob Sznajdman; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Briancon-Skoda theorem; Artin-Rees lemma; Singular varieties; Residue calculus; Milnor number; Milnor number;

    Abstract : The Briancon-Skoda theorem can be seen as an effective version of the Hilbert Nullstellensatz and gives a connection between size conditions on holomorphic functions and ideal membership. The size conditions are captured algebraically by the notion of integral closure of ideals. READ MORE

  7. 5. 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