Search for dissertations about: "Lie group analysis"

Showing result 1 - 5 of 25 swedish dissertations containing the words Lie group analysis.

  2. 1. Symmetries and conservation laws

    Author : Raisa Khamitova; Börje Nilsson; Claes Jougréus; Maria Luz Gandarias; Växjö universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; conservation law; Noether s theorem; Lie group analysis; Lie-Bäcklund transformations; basis of conservation laws; formal Lagrangian; self-adjoint equation; quasi-selfadjoint; equation; nonlocal conservation law; Mathematical physics; Matematisk fysik;

    Abstract : Conservation laws play an important role in science. The aim of this thesis is to provide an overview and develop new methods for constructing conservation laws using Lie group theory. The derivation of conservation laws for invariant variational problems is based on Noether’s theorem. READ MORE

  4. 2. Expressing emotions through vibration for perception and control

    Author : Shafiq ur Réhman; Li Liu; Xiaoyi Jiang; Umeå universitet; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; Multimodal Signal Processing; Mobile Communication; Vibrotactile Rendering; Locally Linear Embedding; Object Detection; Human Facial Expression Analysis; Lip Tracking; Object Tracking; HCI; Expectation-Maximization Algorithm; Lipless Tracking; Image Analysis; Visually Impaired.; Signal processing; Signalbehandling; Image analysis; Bildanalys; Computer science; Datavetenskap; Telecommunication; Telekommunikation; Systems engineering; Systemteknik; datoriserad bildanalys; Computerized Image Analysis; business data processing; administrativ databehandling; Electronics; elektronik; Systems Analysis; systemanalys;

    Abstract : This thesis addresses a challenging problem: “how to let the visually impaired ‘see’ others emotions”. We, human beings, are heavily dependent on facial expressions to express ourselves. A smile shows that the person you are talking to is pleased, amused, relieved etc. READ MORE

  5. 3. Painlevé analysis and transformations for nonlinear partial differential equations

    Author : Ove Lindblom; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : Nonlinear partial differential equations play a fundamental role in the description of many physical models. In order to get a complete understanding of the phenomena which are modeled it is important to obtain exact analytic solutions. READ MORE

  6. 4. Admissible transformations and the group classification of Schrödinger equations

    Author : Celestin Kurujyibwami; Peter Basarab-Horwath; Roman Popovych; Pontelis Damianou; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : We study admissible transformations and solve group classification problems for various classes of linear and nonlinear Schrödinger equations with an arbitrary number n of space variables.The aim of the thesis is twofold. READ MORE

  7. 5. Group theoretical methods for solving multidimensional nonlinear partial differential equations

    Author : Marianna Euler; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : New methods for constructing both exact and approximate solutions of multidimensional nonlinear partial differential equations are developed. The basis of the methods is taken from the classical Lie transformation group theory. READ MORE