Essays about: "Nonlinear functional analysis"

Found 4 essays containing the words Nonlinear functional analysis.

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

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

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

    Abstract : 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

  3. 2. Axisymmetric capillary water waves on cylindrical fluid jets

    University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten); Lunds universitet/Matematikcentrum

    Author : Anna-Mariya Otsetova; [2023]
    Keywords : Euler equations; Bernoulli boundary condition; Schauder estimates; nonlinear functional analysis; Mathematics and Statistics;

    Abstract : 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

  4. 3. On the Identification of Nonlinear Optima in Spatially Developing Boundary Layer Flow

    University essay from KTH/Strömningsmekanik och Teknisk Akustik

    Author : Emanuel Taschner; [2021]
    Keywords : transition to turbulence; nonlinear stability analysis; boundary layer flow; övergång till turbulens; icke-linjär stabilitetsanalys; gränsskiktsflöden;

    Abstract : 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

  5. 4. A Matlab Toolbox for fMRI Data Analysis: Detection, Estimation and Brain Connectivity

    University essay from Datorseende

    Author : Kiran Kumar Budde; [2012]
    Keywords : fMRI; functional Magnetic Resonance Imaging; Detection of activated regions; Estimation of hemodynamic response; Brain connectivity; Bayesian estimator; RBF; NARX; Granger causality.;

    Abstract : 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