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echarala
New member
Username: echarala

Post Number: 1
Registered: 10-2010
Posted on Monday, October 18, 2010 - 07:48 am:   

Dear Robert G. Nelson, Marek Nelson,

I am a PhD student and currently my research is concetrated in Classical Field Theory and to be certain in the Skyrme model.

Due to the fact my 2nd project is to solve the full non-linear field equations, I would be grateful if you could inform me about the fact whether the FlexPde can solve such hard problems.

I want to know that in advance before starting writing a code in Fortran.

I brief, starting from the Lagrangian of this model:
image/pngSkyrme Lagrangian
Skyrme_Lagrangian.png (14.8 k)


one can take the E-L eqs:
image/pngE-L Equations
E-L.png (14.8 k)


where the Lagrange multiplier \lambda is:
image/pnglambda
lambda.png (19.4 k)
.

Now, denoting by dot the time differentation, the equations of motion can be reformulated as:

image/pngnew
eq2.png (12.8 k)


where the matrix M and \alpha are (respectively):

image/pngM
M.png (12.4 k)
image/pnga
a.png (20.7 k)
.

This is the main problem and the man who firstly solved that, claimed that he used Dirichlet conditions on a rectangular grid with 102^3 points.

Thank in advance for your help. I am looking forward to hearing from you.

Sincerely,
Stathis.
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jerrybrown11743
Member
Username: jerrybrown11743

Post Number: 66
Registered: 03-2004
Posted on Monday, October 18, 2010 - 10:39 am:   

What is the file type? Don't recognize the .unk file extension.
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echarala
New member
Username: echarala

Post Number: 2
Registered: 10-2010
Posted on Monday, October 18, 2010 - 11:16 am:   

Dear Jerry Brown,

sorry for the pictures. These are the correct:

image/pngSkyrme Lagrangian
Lagrangian.png (14.8 k)

image/pngE-L Equations
Equations of Motion.png (13.9 k)

image/pnglambda
Lambda.png (19.0 k)

image/pngeq2
M.png (12.6 k)

image/pngM
M_Matrix_form.png (12.4 k)

image/pnga
alpha.png (20.3 k)
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echarala
Junior Member
Username: echarala

Post Number: 3
Registered: 10-2010
Posted on Monday, October 18, 2010 - 11:21 am:   

Part I:
application/pdf
1.pdf (34.6 k)

Part II:
application/pdfpart II
2.pdf (103.5 k)
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echarala
Member
Username: echarala

Post Number: 4
Registered: 10-2010
Posted on Monday, October 18, 2010 - 11:24 am:   

In these 2 parts my problem is illustrated. I don't know why the .png files are automatically converted to .unk files!!

As a result, I 've converted them to pdf files.

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mgnelson
Moderator
Username: mgnelson

Post Number: 213
Registered: 07-2007
Posted on Monday, October 18, 2010 - 03:29 pm:   

I am not sure why your PNG files were loaded as an attachment with a .unk extension. I do not experience this when I upload a PNG. There must be something about your browser that is confusing the forum software. Also (Jerry), even though the file has a .unk extension, when I save it or click on it, my browser knows it is a PNG... is views and downloads as a PNG. If your browser does not, then you can just rename the file and all should be well. The file is still a PNG uncorrupted by the upload/download.

I will try to discover why this is happening and I will manually fix the posts to show the PNG.
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mgnelson
Moderator
Username: mgnelson

Post Number: 214
Registered: 07-2007
Posted on Monday, October 18, 2010 - 06:37 pm:   

THIS IS A REPOST TO CORRECT THE DISPLAY OF PNG FILES
Original post by user "Echarala" on Oct 18, 2010, 07:48
---------------------------------------

I am a PhD student and currently my research is concetrated in Classical Field Theory and to be certain in the Skyrme model.

Due to the fact my 2nd project is to solve the full non-linear field equations, I would be grateful if you could inform me about the fact whether the FlexPde can solve such hard problems.

I want to know that in advance before starting writing a code in Fortran.

I brief, starting from the Lagrangian of this model:

Skyrme Lagrangian

one can take the E-L eqs:
E-L Equations

where the Lagrange multiplier \lambda is:
lambda.

Now, denoting by dot the time differentation, the equations of motion can be reformulated as:

new

where the matrix M and \alpha are (respectively):

M
a.

This is the main problem and the man who firstly solved that, claimed that he used Dirichlet conditions on a rectangular grid with 102^3 points.

Thank in advance for your help. I am looking forward to hearing from you.

Sincerely,
Stathis.
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mgnelson
Moderator
Username: mgnelson

Post Number: 215
Registered: 07-2007
Posted on Monday, October 18, 2010 - 06:46 pm:   

THIS IS A REPOST TO CORRECT THE DISPLAY OF PNG FILES
Original post by user "Echarala" on Oct 18, 2010, 11:16
---------------------------------------

sorry for the pictures. These are the correct:

Skyrme Lagrangian
E-L Equations
lambda
eq2
M
a

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