Sökning: "Hyperbolic conservation laws"

Hittade 3 uppsatser innehållade orden Hyperbolic conservation laws.

  1. 1. On a novel soliton equation, its integrability properties, and its physical interpretation

    Master-uppsats, KTH/Fysik

    Författare :Alexander Fagerlund; [2022]
    Nyckelord :Calogero-Moser systems; Conservation laws; Elliptic dynamics; Fluid dynamics; Hamiltonian mechanics; Hyperbolic dynamics; Integrability; Lax pairs; Pole ansatz; Riemann-Hilbert problems; Solitons; Bevarandelagar; Calogero-Mosersystem; Elliptisk dynamik; Fluiddynamik; Hamiltonmekanik; Hyperbolisk dynamik; Integrabilitet; Laxpar; Polansats; Riemann-Hilbertproblem; Solitoner;

    Sammanfattning : In the present work, we introduce a never before studied soliton equation called the intermediate mixed Manakov (IMM) equation. Through a pole ansatz, we prove that the equation has N-soliton solutions with pole parameters governed by the hyperbolic Calogero-Moser system. LÄS MER

  3. 2. A residual based artificialviscosity method for the stabilizationof the shallow water equations

    Master-uppsats, Uppsala universitet/Institutionen för informationsteknologi

    Författare :Charitini Stavropoulou; [2021]
    Nyckelord :;

    Sammanfattning : The shallow water equations (SWE) are a system of nonlinear hyperbolic partial differential equations, that have been widely used to modelflows in rivers and coastal areas. For many practical purposes, such as flood mitigation and coastal protection, it is extremely important to develop an accurate, efficient, and robust numerical solver. LÄS MER

  4. 3. Pedestrian Evacuation Modelled by a Conservation Law with a Two-inflection-point Flux Function

    Master-uppsats, Lunds universitet/Matematik LTH

    Författare :Henrik Lindell; [2019]
    Nyckelord :Numerical analysis; Applied mathematics; Hyperbolic conservation laws; Finite volume methods; Partial differential equations; Pedestrian dynamics; Modeling; Mathematics and Statistics;

    Sammanfattning : When designing a building one must consider safety aspects. One such aspect is that in the case of an emergency people should be able to efficiently evacuate the building. In this paper we investigate how the width-profile of a corridor leading to an exit might affect the efficiency of evacuation. LÄS MER