Sökning: "Differential equation"

Visar resultat 1 - 5 av 184 uppsatser innehållade orden Differential equation.

  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. Characterization of Pressure and Velocity Fields in Acoustophoresis Using Particle Tracks

    Master-uppsats, KTH/Tillämpad fysik

    Författare :Jonathan Karlsson; [2023]
    Nyckelord :Acoustofluidics; Acoustophoresis; Ultrasonic Standing Waves; Acoustic fields; Particle tracking; Bio marking; Akustofluidik; Akustofores; Stående Ultraljuds Vågor; Akustiska fält; Particle tracking; Bio-markering;

    Sammanfattning : This master’s thesis explores the possibility of calculating and using the pressure andvelocity fields responsible for acoustophoresis. The goal was to use simulated data,similar to two-dimensional particle tracks from a specific microfluidic platform, toestimate the force potential and solve the partial differential equation (PDE) thatgoverns the relationship between the force potential and the acoustic fields. LÄS MER

  4. 3. Dirichlet-to-Neumann maps and Nonlinear eigenvalue problems

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

    Författare :Tindra Jernström; Anna Öhman; [2023]
    Nyckelord :Dirichlet-to-Neumann maps; Nonlinear eigenvalue problems; Absorbing boundary conditions;

    Sammanfattning : Differential equations arise frequently in modeling of physical systems, often resulting in linear eigenvalue problems. However, when dealing with large physical domains, solving such problems can be computationally expensive. LÄS MER

  5. 4. 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

  7. 5. Stability and Controllability of Diffusion Models

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

    Författare :Anton Mörtberg; [2023]
    Nyckelord :Turing Reaction and Diffusion model; System stability; Kronecker product; System controllability;

    Sammanfattning : Alan Turing explored how patterns emerged in embryos. The modelsexplained by Turing describe how two morphogens interact with eachother and develop certain patterns though different conditions. LÄS MER