(adsbygoogle = window.adsbygoogle || []).push({}); 1. Verify that v_{j}∂_{j}v_{i}=∂_{i}(1/2*v^{2})-ε_{ijk}v_{j}ω_{k},where ω_{k}=ε_{klm}∂_{l}v_{m}

2. Relevant equations

3. The attempt at a solution

I am confused on how to proceed with this problem up to this point I have decomposed ω_{k}into Curl(v). Which leaves v_{j}X Curl(v). Decomposing this leaves v_{m}∇_{i}v_{m}-v_{l}∇_{l}v_{i}. I am stuck on where to go from here. How do I get rid of the ]=∂_{i}(1/2*v^{2}) term? Any help is appreciated. Thanks.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Verifying Fluid Dynamics Equation

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