Essays about: "Partial Differential Equation"
Showing result 1 - 5 of 86 essays containing the words Partial Differential Equation.
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1. Do viscous flows slip?
University essay from Göteborgs universitet/Institutionen för matematiska vetenskaperAbstract : 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. READ MORE
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2. Characterization of Pressure and Velocity Fields in Acoustophoresis Using Particle Tracks
University essay from KTH/Tillämpad fysikAbstract : 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. READ MORE
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3. Evaluation of Physics Informed Neural Networks in engineering simple structural analysis problems
University essay from Uppsala universitet/Institutionen för informationsteknologiAbstract : 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. READ MORE
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4. Application of Physics-Informed Neural Networks for Galaxy Dynamics
University essay from Linnéuniversitetet/Institutionen för fysik och elektroteknik (IFE)Abstract : 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. READ MORE
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5. Gravity water waves over constant vorticity flows: from laminar flows to touching waves
University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/MatematikcentrumAbstract : 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. READ MORE
