Recent content by Syntheta

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    1st order PDE, quadratic in derivatives, two variables analytic solution?

    Hah, oops, I meant p=c*r*exp(-r/a)exp(-|z|/b) for some constants a,b,c, at r=infinity and z=infinity. The z dependence of p at infinity could also be exp(-z^2/b), sech(z/b) or sech^2(z/b). At this point I'm more interested in getting a solution than exactly how fast it falls off. Would...
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    From time to timescape – Einstein’s unfinished revolution?

    From my experience David is one to learn from his critics, he's also pretty self-critical. And yeah, he works his *** off. Um. Interesting. He isn't arguing for a non-standard theory of gravity or that general relativity is incorrect. I think he would be quite surprised to hear that that was...
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    1st order PDE, quadratic in derivatives, two variables analytic solution?

    I have the PDE: (v_r)^2+(v_z)^2=p^2 where v=v(r,z), p=p(r,z). I have some boundary conditions, of sorts: p=c*r*exp(r/a)exp(z/b) for some constants a,b,c, at r=infinity and z=infinity p=0 at f=r, where (f_r)^2=p*r/v-v*v_r (f_z)^2=p*r/v+v*v_r Is it possible that one could obtain an...
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