Sökning: "conservation laws"

Visar resultat 1 - 5 av 47 avhandlingar innehållade orden conservation laws.

  1. 1. Symmetries and conservation laws

    Författare :Raisa Khamitova; Börje Nilsson; Claes Jougréus; Maria Luz Gandarias; Växjö universitet; []
    Nyckelord :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;

    Sammanfattning : 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. LÄS MER

  3. 2. Discrete Kinetic Models and Conservation Laws

    Författare :Mirela Cristina Vinerean; Alexander Bobylev; Giampiero Spiga; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Kinetic theory; discrete kinetic velocity models; conservation laws; MATHEMATICS; MATEMATIK; Matematik; Mathematics;

    Sammanfattning : Classical kinetic theory of gases is based on the Boltzmann equation (BE) which describes the evolution of a system of particles undergoing collisions preserving mass, momentum and energy. Discretization methods have been developed on the idea of replacing the original BE by a finite set of nonlinear hyperbolic PDEs corresponding to the densities linked to a suitable finite set of velocities. LÄS MER

  4. 3. Uncertainty Quantification and Numerical Methods for Conservation Laws

    Författare :Per Pettersson; Jan Nordström; Gianluca Iaccarino; Gunilla Kreiss; Rémi Abgrall; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; uncertainty quantification; polynomial chaos; stochastic Galerkin methods; conservation laws; hyperbolic problems; finite difference methods; finite volume methods; Beräkningsvetenskap med inriktning mot numerisk analys; Scientific Computing with specialization in Numerical Analysis;

    Sammanfattning : Conservation laws with uncertain initial and boundary conditions are approximated using a generalized polynomial chaos expansion approach where the solution is represented as a generalized Fourier series of stochastic basis functions, e.g. orthogonal polynomials or wavelets. LÄS MER

  5. 4. Reconstruction Techniques and Finite Volume Schemes for Hyperbolic Conservation Laws

    Författare :Robert Artebrant; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; numerical analysis; Computer science; high order reconstruction; Conservation law; finite volume method; Datalogi; control; systems; kontroll; numerisk analys; system;

    Sammanfattning : This thesis concerns the numerical approximation of the solutions to hyperbolic conservation laws. In particular the research work focuses on reconstruction techniques; the reconstruction being the key ingredient in modern finite volume schemes aiming to increase spatial order of accuracy. LÄS MER

  7. 5. Conservation Laws, Numerical Schemes and Control Strategies for Sedimentation and Wastewater Treatment

    Författare :Sebastian Farås; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Conservation law; Temple class system; numerical scheme; continuous sedimentation;

    Sammanfattning : A consistent theme throughout this thesis is quasilinear partial differential equations (PDEs) appearing in one-dimensional models of sedimentation for solid-liquid separation of suspensions. We mainly focus on continuous sedimentation in so-called clarifier-thickeners (CTs), which are found in mineral processing and wastewater treatment. LÄS MER