Alon Shmiel
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 Sep 24 awarded Autobiographer Apr 19 comment Explanation for the next steps of chaplygin dipole Thank you very much for your explanation!! I believed I will understand it if someone would explain me in other words, but I didn't believe how much I would understand! thank you!! Apr 19 accepted Explanation for the next steps of chaplygin dipole Apr 18 comment Explanation for the next steps of chaplygin dipole @ChristophB. I can understand the steps if the explanation will be more clear.. can you tell me please what is the passing from (2.5) to (2.6) and from (2.6) to (2.7)? which actions of algebra did he use to reach the solution? (I guess that so he got b=3.8317). thank you a lot! if you want, you can write me the answer in "answer the question" and I will accept it. anyway, you can to the same thing in my other question: physics.stackexchange.com/questions/61460/… thank you!! Apr 18 comment coordinate change differential equation polar @ChristophB. thank you Christoph! it helped me! Apr 17 comment coordinate change differential equation polar I know but here I'm just asking for the step (2.5). Apr 17 comment Explanation for the next steps of chaplygin dipole @ChristophB. I understood till (2.4) included. what's about the next steps please? thank you very much! :] Apr 17 asked coordinate change differential equation polar Apr 17 revised Explanation for the next steps of chaplygin dipole added 148 characters in body Apr 17 comment Explanation for the next steps of chaplygin dipole @Bernhard, can you explain me please? thank you very much!! Apr 16 asked Explanation for the next steps of chaplygin dipole Mar 19 awarded Editor Mar 9 awarded Supporter Mar 9 accepted $\nabla({\bf u}^2)=2({\bf u}\cdot \nabla){\bf u} - 2(\nabla \times {\bf u}) \times {\bf u}$ Mar 9 asked $\nabla({\bf u}^2)=2({\bf u}\cdot \nabla){\bf u} - 2(\nabla \times {\bf u}) \times {\bf u}$ Mar 9 accepted Bernoulli's theorem: $\frac{p}{\rho}+\frac{1}{2}u^2+\phi$ is constant along a streamline Mar 8 comment Bernoulli's theorem: $\frac{p}{\rho}+\frac{1}{2}u^2+\phi$ is constant along a streamline sorry, I forgot to paste the link: www3.kis.uni-freiburg.de/~peter/teach/hydro/hydro02.pdf Mar 8 comment Bernoulli's theorem: $\frac{p}{\rho}+\frac{1}{2}u^2+\phi$ is constant along a streamline @dmckee, in (2.13) you can find the definitions. thank you! Mar 8 awarded Student Mar 8 asked Bernoulli's theorem: $\frac{p}{\rho}+\frac{1}{2}u^2+\phi$ is constant along a streamline