Investigations into the Navier-Stokes Equations
Department
Mechanical and Aerospace Engineering
Major
Aerospace Engineering
Research Advisor
Insall, Matt
Advisor's Department
Mathematics and Statistics
Abstract
The Navier-Stokes Equations are important for modelling fluid flow. However, it has not been proven that there are solutions to the equations that are both bounded and smooth. The problem has been labeled the Navier–Stokes existence and smoothness problem, and is so important the Clay Institute of Mathematics has offered a one-million-dollar bounty for a solution. We propose to look for a solution by adding a constraint specifying that the nonlinear term in the Navier-Stokes equations has a specific simple form. We intend to write a computer program to construct the simple forms effectively and efficiently.
Biography
Seth Kitchen is a junior in Aerospace and Computer Engineering. He has done research in aerodynamics, number theory, and formal concept analysis. His poster “On the Existence of Perfect Cuboids” won the Missouri S&T Undergraduate Research Fair in the Sciences category in Spring 2015.
Presentation Type
OURE Fellows Proposal Oral Applicant
Document Type
Presentation
Location
Turner Room
Presentation Date
11 Apr 2017, 1:00 pm - 1:20 pm
Investigations into the Navier-Stokes Equations
Turner Room
The Navier-Stokes Equations are important for modelling fluid flow. However, it has not been proven that there are solutions to the equations that are both bounded and smooth. The problem has been labeled the Navier–Stokes existence and smoothness problem, and is so important the Clay Institute of Mathematics has offered a one-million-dollar bounty for a solution. We propose to look for a solution by adding a constraint specifying that the nonlinear term in the Navier-Stokes equations has a specific simple form. We intend to write a computer program to construct the simple forms effectively and efficiently.
