Title

Investigations into the Navier-Stokes Equations

Presenter Information

Seth Kitchen

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

Start Date

4-11-2017 1:00 PM

End Date

4-11-2017 1:20 PM

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Apr 11th, 1:00 PM Apr 11th, 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.