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Description
  • We revisit the classical calculus problem of describing the flow of brine in a system of tanks connected by pipes. For various configurations involving an arbitrary number of tanks, we show that the corresponding linear system of differential equations can be solved analytically. Finally, we analyze the asymptotic behavior of solutions for a general closed system of tanks. It turns out that the problem is closely related to the study of Laplacian matrices for directed graphs.
  • We revisit the classical calculus problem of describing the flow of brine in a system of tanks connected by pipes. For various configurations involving an arbitrary number of tanks, we show that the corresponding linear system of differential equations can be solved analytically. Finally, we analyze the asymptotic behavior of solutions for a general closed system of tanks. It turns out that the problem is closely related to the study of Laplacian matrices for directed graphs. (en)
Title
  • Mixing Problems with Many Tanks
  • Mixing Problems with Many Tanks (en)
skos:prefLabel
  • Mixing Problems with Many Tanks
  • Mixing Problems with Many Tanks (en)
skos:notation
  • RIV/00216208:11320/13:10159025!RIV14-MSM-11320___
http://linked.open...avai/predkladatel
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http://linked.open...avai/riv/aktivity
  • I
http://linked.open...iv/cisloPeriodika
  • 9
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...dnocenehoVysledku
  • 88589
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/13:10159025
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Laplacian matrix; balanced directed graph; algebraic graph theory; linear systems of differential equations (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [4859E3FFA936]
http://linked.open...i/riv/nazevZdroje
  • American Mathematical Monthly
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 120
http://linked.open...iv/tvurceVysledku
  • Slavík, Antonín
http://linked.open...ain/vavai/riv/wos
  • 000325732700003
issn
  • 0002-9890
number of pages
http://bibframe.org/vocab/doi
  • 10.4169/amer.math.monthly.120.09.806
http://localhost/t...ganizacniJednotka
  • 11320
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