Essays about: "Nonlinear functional analysis"
Found 4 essays containing the words Nonlinear functional analysis.
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1. 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
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2. Axisymmetric capillary water waves on cylindrical fluid jets
University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/MatematikcentrumAbstract : In their paper, Vanden-Broeck, Miloh and Spivack (Wave Motion 27, 1998) describe two limiting behaviours of irrotational, axisymmetric capillary water waves using numerical methods. They found a two-parameter family of nontrivial solutions. Some solutions of small amplitude approach a uniform stream, while others approach a static configuration. READ MORE
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3. On the Identification of Nonlinear Optima in Spatially Developing Boundary Layer Flow
University essay from KTH/Strömningsmekanik och Teknisk AkustikAbstract : The present thesis studies transition to turbulence in a spatially developing bound-ary layer for subcritical Reynolds numbers. A fully nonlinear iterative direct-adjoint optimisation technique is employed to identify finite amplitude perturbations triggering transition in an energy efficient way. READ MORE
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4. A Matlab Toolbox for fMRI Data Analysis: Detection, Estimation and Brain Connectivity
University essay from DatorseendeAbstract : Functional Magnetic Resonance Imaging (fMRI) is one of the best techniques for neuroimaging and has revolutionized the way to understand the brain functions. It measures the changes in the blood oxygen level-dependent (BOLD) signal which is related to the neuronal activity. READ MORE