Sökning: "Francisco Gonçalves Jorge Dias de Carvalho"

Hittade 2 uppsatser innehållade orden Francisco Gonçalves Jorge Dias de Carvalho.

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. Waring’s Problem and the Hardy-Littlewood circle method

   Kandidat-uppsats, Lunds universitet/Matematik LTH; Lunds universitet/Matematik (naturvetenskapliga fakulteten)

   Författare :Francisco Gonçalves Jorge Dias de Carvalho; [2021]
   Nyckelord :Hardy-Littlewood Weyl sums Weyl s inequality Hua s lemma Vinogradov major arcs minor arcs singular series; Mathematics and Statistics;

   Sammanfattning : In this bachelor thesis, we appply the Hardy-Littlewood circle method to Waring's problem using Vinogradov's exponential sums approach. On the last section, we focus on the consequeces of the recently proved Vinogradov's mean value theorem... LÄS MER