Sökning: "Fixed point theorems"

Hittade 2 uppsatser innehållade orden Fixed point theorems.

1. 1. 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

3. 2. Simulation and Mathematical Analysis of a Task Partitioning Model of a Colony of Ants

   Kandidat-uppsats, Karlstads universitet/Institutionen för matematik och datavetenskap (from 2013)

   Författare :Viktor Södergren; [2016]
   Nyckelord :Social insects; Ants; Task partitioning; Self-organization; Nonlinear operators; Dynamical systems; Fixed point theorems;

   Sammanfattning : In this thesis we study a mathematical model that describes task partitioning in a colony of ants. This process of self-organization is modeled by a nonlinear coupled system of rst order autonomous ordinary dierential equations. We discuss how this system of equations can be derived based on the behavior of ants in a colony. LÄS MER