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MathGroup Archive 2004

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How can I graph a characteristic equation dx/dt=v?????

  • To: mathgroup at smc.vnet.net
  • Subject: [mg46527] How can I graph a characteristic equation dx/dt=v?????
  • From: HPerea at uswcl.ars.ag.gov
  • Date: Sun, 22 Feb 2004 11:27:25 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

I have a grid where I know the velocity v[x,t] in each node.  What I want 
to do is to graph the characteristic equation dx/dt=v using the velocity 
values. I couldn't graph this equation correctly with Mathematica. In my 
problem, if v->0 the characteristic curve has to be vertical and  if 
v->infinite  the curve is horizontal. 
                           o (x2,t2)
                         / |
                       /   |
                     /     | 1   This is a picture of my problem.
                   /       |     I know the velocity at the point (x1,t1) 
                 /         |     but I don't know the point (x2,t2). 
       (x1,t1)  o ---------o
                  1 / v

Do you think that I can graph the characteristic curves for this problem 
using Mathematica?? 

I really appreciate your help....

Thanks


Hugo Perea-Estrada
PhD. Student
The University of Arizona
Agricultural and Biosystems Engineering Department
Email: HPerea at uswcl.ars.ag.gov
             hugop at ag.arizona.edu
             hugo at email.arizona.edu


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