Langsung ke konten utama

On plausible methods to solve 3D Navier-Stokes equations

Dear Sergey and Yury

Thanks, yes i aware that Clay prize may be not for mortals like us...but at least it will be fun to find out that many "emperors" are completely naked... ;-)

Thanks also for your prayer for me to go to Jerusalem. Well I know it is highly improbable that Trump will read and respond my email, but I hope that some professors cited in my email can do preparation for second coming to their people...that is my wish.

Btw, now back to possible solution of NS. Terribly sorry, i am not trained in complicated procedure, so I would propose three possible ways to solve NS:

a. Using its analogy with Riccati, then solve the Riccati-NS with Mathematica.

b. using numerical methods to solve PDE. See for instance and old paper by Gabriel Kron, where he used circuit network analog for solving PDE. 
We know that NS is a PDE degree two, so perhaps it can be solved using Kron's analog circuit...

c. Combine procedure a and b. Find the Riccati equivalent of NS then use circuit network analog to solve numerically.

But really i still need time to put these ideas to working paper.. Perhaps Yury has his own ideas too.

How is that?

Humbly yours,

Victor Christianto
*Founder and Technical Director,
E-learning and consulting services in renewable energy
**Founder of Second Coming Institute,
Twitter: @Christianto2013
***Papers and books can be found at:

On Feb 17, 2017, at 1:16, Ершков Сергей<> wrote:

Dear Victor, I wish every success for your forthcoming science-trip to Jerusalem (Israel) under the guidance of God and with the possible help of Mr. Donald Trump.
Btw, regarding your suggestion in the e-mail below: could you kindly check (?) via "Mathematica" or CFD-solver one of partial examples from the class of exact solutions of NSE, which was obtained by me few weeks ago.
This is analytical formulae of nonstationary 3D-solution (see presentation of my Report enclosed, in Russian; Yury already has its old version), such the solution should satisfy to NSE at initial conditions (Cartesian coordinates system) in the case of the Cauchy problem in the whole space; appropriate meanings of the components of pressure gradient should be chosen according to Bernoulli invariant.
So, algorithm for checking of the solution via "Mathematics" (components of solution) is pointed below:
1) solution is the pair (p, u), where components of pressure gradient should be chosen according to Bernoulli invariant Eq. (1.3);
2) the velocity field u = u_p + u_w, where components of u_p (potential flow) are given by formulae (1.4.2); as for the appropriate components of u_w (solenoidal flow), you could see it at p.19 and p.21 accordingly.
Parameters a(t), b(t) in the aforementioned formulae are pointed at pages 21-22.
3) At page 23 you could see the example of presenting of formulae for the Ox-component of flow velocity; Oy-component and Oz-component of flow velocity should be presented via appropriate formulae (see point 2) above).
4) At pages 23-24 you could find the plots of the Ox-component of flow velocity, which was calculated analytically by me.
For checking of the validity of the components of solution (does it really satisfy to NSE under the chosen initial conditions if we consider the case of the Cauchy problem in the whole space?), we should substitute appropriate terms in NSE with the help of "Mathematica" or CFD-solver.
It will be the qualitative basis for our mutual publication in the future (I think, Prof. Smarandache is also interested in solving of NSE).
Hope, you will find a spare time for implementing of all the calculations via "Mathematica", it should be interesting mathematical experiment!
If you have an additional questions or comments, you are welcome!
P.S. Millenium prize is not so easy thing to obtain :), we are only at the beginning of our way.


Popular posts

10 changes Jesus will bring

By Tim McHyde
my FREE article on the exciting Millennium changes...Big Changes When Jesus Returns - Including Pets Gone Vegetarian Since my last email to you, my world has frankly been turned upside down. Our autistic firstborn Zachary, 23, had to be taken to the ER due to not breathing well after some vomiting and fever. Rather than it being a mere flu, he had pneumonia and sepsis. This has landed him in the ICU where he is on a breathing tube and IV antibiotics. He literally almost died and the doctors are still not happy with his labs a week later (very low thrombocytes). I would appreciate your prayers for him. You can read the details, updates and answers to FAQs on this post for him. Thank you.

In extreme trials like this, I find it essential to deal with all lies and other negative thoughts (fear, worry, guilt, etc.) by rebuking them with positive truth from Scripture and reminding yourself of God's past good to you. As well, I find it comforting to remember that …

Pembangunan Bait Suci ke-3

*Pembangunan Bait Suci ke-3. Antikristus dan Rapture di depan mata kita!*
Salah satu topik yang paling hangat dibicarakan berkaitan dengan Akhir Zaman ialah pembangunan Bait Suci ke-3 di Yerusalem.  Pembangunan Bait Suci ini merupakan salah satu nubuatan yang akan segera digenapi.  Namun, terdapat banyak kendala yang menghambat pembangunannya, sebut saja Lokasi persis bangunan Bait Suci ke-3, apakah tabut perjanjian sudah ditemukan, dan bagaimana perkakas-perkakas Bait itu.  Bagaimana sebenarnya  kisah dan kelanjutannya, berikut adalah penjelasannya.
Pada 7 Juni 1967, selang beberapa hari setelah Israel mengambilalih kekuasaan atas Yerusalem, Moshe Dayan selaku Menteri Pertahanan Israel kala itu datang untuk pertama kalinya berdoa di Tembok Barat dari Bukit Bait Suci, dan ia menyatakan: "Kami telah mengembalikan tempat Maha Kudus kami dan kami tidak akan pernah meninggalkannya kembali". Shlomo Gorn, Rabbi kepala dari tentara Israel kemudian meniup "shofar" sebagai sy…

What God promised to tell me to do as the Elijah for the End of Times.

What God promised to tell me to do as the Elijah for the End of Times.

*And now He fulfill His promise, because this is the end of Times.

Note: Believe it or not, this article was written very carefully under guidance of Holy Spirit, because I do not know the meaning and unprepared to become a prophet of God. But thanks God, He is full of mercy.

God call me in Oct. 2009 as His prophet in order to prepare so many people in His body of churches and nations for the End of Times. Before that, God asked me three times: "Do you love Me? Then shepherd My lambs." And I replied, "Yes, God. You know that I love You." At the time, I remembered that classic conversation between Jesus and Peter in John chapter 21. I tried to see how the relation of Jesus's question to Peter and God's question to me, but it is mystery.
Initially, I was so enthusiastic with this unexpected job from God to become His prophet, and at the time, a part of me said that it is a very …