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Statements

Subject Item
n2:RIV%2F00216208%3A11320%2F13%3A10159025%21RIV14-MSM-11320___
rdf:type
skos:Concept n17:Vysledek
rdfs:seeAlso
http://dx.doi.org/10.4169/amer.math.monthly.120.09.806
dcterms: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.
dcterms:title
Mixing Problems with Many Tanks Mixing Problems with Many Tanks
skos:prefLabel
Mixing Problems with Many Tanks Mixing Problems with Many Tanks
skos:notation
RIV/00216208:11320/13:10159025!RIV14-MSM-11320___
n17:predkladatel
n20:orjk%3A11320
n3:aktivita
n9:I
n3:aktivity
I
n3:cisloPeriodika
9
n3:dodaniDat
n6:2014
n3:domaciTvurceVysledku
n8:4013441
n3:druhVysledku
n10:J
n3:duvernostUdaju
n19:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
88589
n3:idVysledku
RIV/00216208:11320/13:10159025
n3:jazykVysledku
n11:eng
n3:klicovaSlova
Laplacian matrix; balanced directed graph; algebraic graph theory; linear systems of differential equations
n3:klicoveSlovo
n14:balanced%20directed%20graph n14:algebraic%20graph%20theory n14:Laplacian%20matrix n14:linear%20systems%20of%20differential%20equations
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[4859E3FFA936]
n3:nazevZdroje
American Mathematical Monthly
n3:obor
n18:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:rokUplatneniVysledku
n6:2013
n3:svazekPeriodika
120
n3:tvurceVysledku
Slavík, Antonín
n3:wos
000325732700003
s:issn
0002-9890
s:numberOfPages
16
n12:doi
10.4169/amer.math.monthly.120.09.806
n13:organizacniJednotka
11320