Exact solution for the Poisson field in a semi-infinite strip

Cohen, Yossi; Rothman, Daniel H.

doi:10.1098/rspa.2016.0908

Title: Exact solution for the Poisson field in a semi-infinite strip

Journal Article · Sat Apr 01 00:00:00 EDT 2017 · Proceedings of the Royal Society. A. Mathematical, Physical and Engineering Sciences

DOI:https://doi.org/10.1098/rspa.2016.0908· OSTI ID:1535700

; Rothman, Daniel H.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: FG02-99ER15004

OSTI ID:: 1535700

Journal Information:: Proceedings of the Royal Society. A. Mathematical, Physical and Engineering Sciences, Vol. 473, Issue 2200; ISSN 1364-5021

Publisher:: The Royal Society Publishing

Country of Publication:: United States

Language:: English

References (13)

Diffusion-Controlled Reactions Calef, D. F.; Deutch, J. M. Annual Review of Physical Chemistry, Vol. 34, Issue 1 https://doi.org/10.1146/annurev.pc.34.100183.002425	journal	October 1983
Diffusion in absorbing media Henry, P. S. H. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 171, Issue 945, p. 215-241 https://doi.org/10.1098/rspa.1939.0062	journal	May 1939
Poisson growth McDonald, Robb; Mineev-Weinstein, Mark Analysis and Mathematical Physics, Vol. 5, Issue 2 https://doi.org/10.1007/s13324-014-0094-9	journal	November 2014
Bifurcation dynamics of natural drainage networks Petroff, Alexander P.; Devauchelle, Olivier; Seybold, Hansjörg Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 2004 https://doi.org/10.1098/rsta.2012.0365	journal	December 2013
Stress intensity factor of mode-III cracks in thin sheets Cohen, Yossi; Procaccia, Itamar Physical Review E, Vol. 83, Issue 2 https://doi.org/10.1103/PhysRevE.83.026106	journal	February 2011
Ramification of stream networks Devauchelle, O.; Petroff, A. P.; Seybold, H. F. Proceedings of the National Academy of Sciences, Vol. 109, Issue 51 https://doi.org/10.1073/pnas.1215218109	journal	December 2012
Path selection in the growth of rivers Cohen, Yossi; Devauchelle, Olivier; Seybold, Hansjörg F. Proceedings of the National Academy of Sciences, Vol. 112, Issue 46 https://doi.org/10.1073/pnas.1413883112	journal	November 2015
Growth laws for channel networks incised by groundwater flow Abrams, Daniel M.; Lobkovsky, Alexander E.; Petroff, Alexander P. Nature Geoscience, Vol. 2, Issue 3 https://doi.org/10.1038/ngeo432	journal	February 2009
Ein Ergänzungssatz zur Cauchyschen Integraldarstellung analytischer Funktionen, Randwerte betreffend Plemelj, J. Monatshefte für Mathematik und Physik, Vol. 19, Issue 1 https://doi.org/10.1007/BF01736696	journal	December 1908
Fingering Instability in Combustion Zik, Ory; Olami, Zeev; Moses, Elisha Physical Review Letters, Vol. 81, Issue 18 https://doi.org/10.1103/PhysRevLett.81.3868	journal	November 1998
On brittle cracks under longitudinal shear Barenblatt, G. I.; Cherepanov, G. P. Journal of Applied Mathematics and Mechanics, Vol. 25, Issue 6 https://doi.org/10.1016/0021-8928(62)90143-0	journal	January 1961
Path Selection in a Poisson field Cohen, Yossi; Rothman, Daniel H. Journal of Statistical Physics, Vol. 167, Issue 3-4 https://doi.org/10.1007/s10955-016-1669-7	journal	November 2016
Brittle fracture of solids with arbitrary cracks Gol'dstein, R. V.; Salganik, R. L. International Journal of Fracture, Vol. 10, Issue 4 https://doi.org/10.1007/BF00155254	journal	December 1974

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