Three Examples of Unbounded Energy for $t\gt0$

V.M.D. Santos Godoi

doi:10.4172/2090-0902.1000196

Password Forgot your password?

Show

Remember Email on this computer

Remember Password

Please wait...

No Project Euclid account? Create an account
or Sign in with your institutional credentials

We can help you reset your password using the email address linked to your Project Euclid account.

Registered users receive a variety of benefits including the ability to customize email alerts, create favorite journals list, and save searches. Please note that a Project Euclid web account does not automatically grant access to full-text content. An institutional or society member subscription is required to view non-Open Access content. Contact customer_support@projecteuclid.org with any questions.
View Project Euclid Privacy Policy

All Fields are Required

* First Name

* Last/Family Name

* Email

* Password

Password Requirements: Minimum 8 characters, must include as least one uppercase, one lowercase letter, and one number or permitted symbol Valid Symbols for password:
~ Tilde
! Exclamation Mark
@ At sign
$ Dollar sign
^ Caret
( Opening Parenthesis
) Closing Parenthesis
_ Underscore
. Period

* Confirm Password

Please wait...

Web Account created successfully

Browse
Resources
About

Advanced Search

Home > Journals > J. Phys. Math. > Volume 7 > Issue 3 > Article

2016 Three Examples of Unbounded Energy for $t\gt0$

V.M.D. Santos Godoi

J. Phys. Math. 7(3): 1-10 (2016). DOI: 10.4172/2090-0902.1000196

ABOUT
FIRST PAGE
CITED BY
DOWNLOAD PAPER SAVE TO MY LIBRARY

PERSONAL SIGN IN
Full access may be available with your subscription

Password Forgot your password?

Show

Remember Email on this computer

Remember Password

No Project Euclid account? Create an account
or Sign in with your institutional credentials

PURCHASE SINGLE ARTICLE

This article is only available to subscribers. It is not available for individual sale.

This will count as one of your downloads.

You will have access to both the presentation and article (if available).

DOWNLOAD NOW

This content is available for download via your institution's subscription. To access this item, please sign in to your personal account.

Password Forgot your password?

Show

Remember Email on this computer

Remember Password

No Project Euclid account? Create an account

My Library

You currently do not have any folders to save your paper to! Create a new folder below.

Abstract

A solution to the 6th millenium problem, respect to breakdown of Navier-Stokes solutions and the bounded energy. We have proved that there are initial velocities and forces such that there is no physically reasonable solution to the Navier-Stokes equations for, which corresponds to the case (C) of the problem relating to Navier-Stokes equations available on the website of the Clay Institute.

Citation

Download Citation

V.M.D. Santos Godoi. "Three Examples of Unbounded Energy for $t\gt0$." J. Phys. Math. 7 (3) 1 - 10, 2016. https://doi.org/10.4172/2090-0902.1000196

Information

Published: 2016

First available in Project Euclid: 6 September 2017

Digital Object Identifier: 10.4172/2090-0902.1000196

Keywords: 15th Problem of Small , blowup time , Breakdown , conservative field , continuity equation , existence , external force , gradient field , millennium problem , Navier-Stokes equations , Nonuniqueness , physically reasonable solutions , pressure , smoothness , unbounded energy , uniqueness , velocity

Access the abstract

JOURNAL ARTICLE
10 PAGES

DOWNLOAD PDF + SAVE TO MY LIBRARY