Sökning: "partial differential equations"

Visar resultat 1 - 5 av 96 uppsatser innehållade orden partial differential equations.

  1. 1. Do viscous flows slip?

    Master-uppsats, Göteborgs universitet/Institutionen för matematiska vetenskaper

    Författare :Björn Sjösvärd; [2023-12-21]
    Nyckelord :Mathematics; partial differential equations; multivectors; Hodge de-compositions; the Stokes equation; Hodge boun;

    Sammanfattning : In this thesis, the Stokes equation is discussed and solved under different boundary conditions. The Stokes equation governs the flow of viscous liquids, for example honey or syrup. The first chapters in the thesis provides an introduction to multivector algebra and analysis, with the aim of presenting the concept of Hodge decompositions. LÄS MER

  3. 2. Data Assimilation for Systems with Multiple Timescales

    Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)

    Författare :Dan Vicente Ihanus; [2023]
    Nyckelord :Mathematics; Partial Differential Equations; Numerical analysis; Data assimilation; Numerical weather prediction; Ensemble Kalman Filter;

    Sammanfattning : This text provides an overview of problems in the field of data assimilation. We explore the possibility of recreating unknown data by continuously inserting known data into certain dynamical systems, under certain regularity assumptions. LÄS MER

  4. 3. Evaluation of Physics Informed Neural Networks in engineering simple structural analysis problems

    Master-uppsats, Uppsala universitet/Institutionen för informationsteknologi

    Författare :Georgios Nentidis; [2023]
    Nyckelord :;

    Sammanfattning : Neural Networks have found many applications for a long time in Machine Learning in different disciplines, and have especially flourished in the last decade because of the ever-increasing processing power especially from GPUs. Because of their ability to operate as universal function approximators and model nonlinear processes, attempts have been made in recent years to be also used for modeling partial differential equation (PDE) solutions. LÄS MER

  5. 4. Application of Physics-Informed Neural Networks for Galaxy Dynamics

    Master-uppsats, Linnéuniversitetet/Institutionen för fysik och elektroteknik (IFE)

    Författare :Lucas Barbier; [2023]
    Nyckelord :;

    Sammanfattning : Developing efficient and accurate numerical methods to simulate dynamics of physical systems has been an everlasting challenge in computational physics. Physics-Informed Neural Networks (PINNs) are neural networks that encode laws of physics into their structure. LÄS MER

  7. 5. Gravity water waves over constant vorticity flows: from laminar flows to touching waves

    Master-uppsats, Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Författare :Francisco Gonçalves Jorge Dias de Carvalho; [2023]
    Nyckelord :Partial differential equations; Water waves; Euler equations; Free boundary problem; Bifurcation theory; Nonlinear functional analysis; Hilbert transform; Mathematics and Statistics;

    Sammanfattning : In a recent paper, Hur and Wheeler proved the existence of periodic steady water waves over an infinitely deep, two-dimensional and constant vorticity flow and subject to gravity whose profile overhangs, among which, waves whose surface touches at a point, enclosing a bubble of air. We take this further, proving the existence of a continuous curve of water waves from a laminar flow up to a touching wave for fixed non-zero gravity. LÄS MER