The principle of reparametrization invariance is used to derive a dynamical equation for the erosion of the landscape of the drainage basin of river networks. The stationary solutions of the equation are found to have scaling behavior that is consistent with observational data. Our analytic prediction of the main stream profile is confirmed by numerical results and is amenable to direct observational verification.
%0 Journal Article
%1 banavar:4522
%A Banavar, Jayanth R.
%A Colaiori, Francesca
%A Flammini, Allesandro
%A Giacometti, Achille
%A Maritan, Amos
%A Rinaldo, Andrea
%D 1997
%I APS
%J Physical Review Letters
%K statistical river theory model physics rivernetworks erosion network
%N 23
%P 4522-4525
%T Sculpting of a Fractal River Basin
%U http://link.aps.org/abstract/PRL/v78/p4522
%V 78
%X The principle of reparametrization invariance is used to derive a dynamical equation for the erosion of the landscape of the drainage basin of river networks. The stationary solutions of the equation are found to have scaling behavior that is consistent with observational data. Our analytic prediction of the main stream profile is confirmed by numerical results and is amenable to direct observational verification.
@article{banavar:4522,
abstract = {The principle of reparametrization invariance is used to derive a dynamical equation for the erosion of the landscape of the drainage basin of river networks. The stationary solutions of the equation are found to have scaling behavior that is consistent with observational data. Our analytic prediction of the main stream profile is confirmed by numerical results and is amenable to direct observational verification.},
added-at = {2006-12-21T18:33:55.000+0100},
author = {Banavar, Jayanth R. and Colaiori, Francesca and Flammini, Allesandro and Giacometti, Achille and Maritan, Amos and Rinaldo, Andrea},
biburl = {https://www.bibsonomy.org/bibtex/255983b1b3af5ddb694c176e3af0e644f/andreab},
interhash = {24e32b8eeb17e505abe7e31ba0b194b1},
intrahash = {55983b1b3af5ddb694c176e3af0e644f},
journal = {Physical Review Letters},
keywords = {statistical river theory model physics rivernetworks erosion network},
number = 23,
pages = {4522-4525},
publisher = {APS},
timestamp = {2006-12-21T18:33:55.000+0100},
title = {Sculpting of a Fractal River Basin},
url = {http://link.aps.org/abstract/PRL/v78/p4522},
volume = 78,
year = 1997
}