Trouble verifying Divergence Theorem

Thread starter bratiskovci
Start date Sep 26, 2007
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Divergence Divergence theorem Theorem

In summary, the Divergence Theorem is a mathematical theorem that relates the flux of a vector field through a closed surface to the divergence of the field within the enclosed volume. It is important to verify the Divergence Theorem to ensure its accuracy and applicability in various fields. The steps to verify the theorem include choosing a closed surface and vector field, calculating the flux and divergence, and confirming their equality. Some common challenges when verifying the Divergence Theorem include choosing suitable parameters, performing accurate calculations, and dealing with complex systems. The theorem has many real-world applications in physics and engineering, such as determining fluid flow rates and studying electromagnetic fields.

Sep 26, 2007

bratiskovci

i having a some trouble verifying the Divergence theorem for A=y^2zex-2x^3yey+xyz^2ez with respect to V being a unit cube

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Sep 26, 2007

robphy

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Can you show what you've tried?
(For starters, can you state the Divergence Theorem?)

Sep 27, 2007

MathematicalPhysicist

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I think he was reffering to gauss theorem.
well, it's purely technicallity, i.e the calculation, you should show in what exactly you don't succeed.

1. What is the Divergence Theorem?

The Divergence Theorem is a mathematical theorem that relates the flux of a vector field through a closed surface to the divergence of the field within the enclosed volume. It is also known as Gauss's Theorem or Gauss's Law.

2. Why is it important to verify the Divergence Theorem?

Verifying the Divergence Theorem is important because it ensures that the theorem holds true and can be used in various applications. It also helps to confirm the accuracy of calculations involving vector fields and closed surfaces.