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Http://mathematicsgu Ru.files.wordpress.c Om/2013/04/249.pdf

249.pdf
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📊 Size: 629 KB
📄 Pages: 121 pages
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Summary

It introduces the concept of conservation laws, which describe the conservation of a quantity over time. The traffic problem is formulated using the conservation equation, where N(x, t) represents the density of vehicles and u(x, t) represents the average velocity. The equation is derived from the conservation of the total number of cars, and it is shown that it can be put in the form of a first-order nonlinear equation, Nt + (F(N))x = 0, where F(N) = U(N)N. The function U(N) represents the relationship between velocity and density, which is assumed to be a decreasing function of density.

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Description

It introduces the concept of conservation laws, which describe the conservation of a quantity over time.

Technical Information

  • File Format: PDF
  • File Size: 629 KB
  • Pages: 121
  • Language: EN
  • Total Downloads: 49
  • Last Updated: 2 months ago

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