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Statements

Subject Item
n2:RIV%2F00216208%3A11310%2F09%3A10111337%21RIV12-MSM-11310___
rdf:type
skos:Concept n10:Vysledek
rdfs:seeAlso
http://dx.doi.org/10.1002/elps.200900133
dcterms:description
Electrophoresis utilizes a difference in movement of charged species in a separation channel or space for their spatial separation. A basic partial differential equation that results from the balance laws of continuous processes in separation sciences is the nonlinear conservation law or the continuity equation. Attempts at its analytical solution in electrophoresis go back to Kohlrausch's days. The present paper (i) reviews derivation of conservation functions from the conservation law as appeared chronologically, (ii) deals with theory of moving boundary equations and, mainly, (iii) presents the linear theory of eigenmobilities. It shows that a basic solution of the linearized continuity equations is a set of traveling waves. In particular cases the continuity equation can have a resonance solution that leads in practice to schizophrenic dispersion of peaks or a chaotic solution, which causes oscillation of electrolyte solutions. Electrophoresis utilizes a difference in movement of charged species in a separation channel or space for their spatial separation. A basic partial differential equation that results from the balance laws of continuous processes in separation sciences is the nonlinear conservation law or the continuity equation. Attempts at its analytical solution in electrophoresis go back to Kohlrausch's days. The present paper (i) reviews derivation of conservation functions from the conservation law as appeared chronologically, (ii) deals with theory of moving boundary equations and, mainly, (iii) presents the linear theory of eigenmobilities. It shows that a basic solution of the linearized continuity equations is a set of traveling waves. In particular cases the continuity equation can have a resonance solution that leads in practice to schizophrenic dispersion of peaks or a chaotic solution, which causes oscillation of electrolyte solutions.
dcterms:title
Theory of electrophoresis: Fate of one equation Theory of electrophoresis: Fate of one equation
skos:prefLabel
Theory of electrophoresis: Fate of one equation Theory of electrophoresis: Fate of one equation
skos:notation
RIV/00216208:11310/09:10111337!RIV12-MSM-11310___
n3:aktivita
n5:I
n3:aktivity
I
n3:cisloPeriodika
March
n3:dodaniDat
n13:2012
n3:domaciTvurceVysledku
n4:3899896
n3:druhVysledku
n19:J
n3:duvernostUdaju
n18:S
n3:entitaPredkladatele
n15:predkladatel
n3:idSjednocenehoVysledku
346184
n3:idVysledku
RIV/00216208:11310/09:10111337
n3:jazykVysledku
n8:eng
n3:klicovaSlova
Partial differential equation; Oscillation; Electromigration; Eigenvalue; Chaos
n3:klicoveSlovo
n7:Oscillation n7:Electromigration n7:Partial%20differential%20equation n7:Eigenvalue n7:Chaos
n3:kodStatuVydavatele
GB - Spojené království Velké Británie a Severního Irska
n3:kontrolniKodProRIV
[2F14B91421CE]
n3:nazevZdroje
Electrophoresis
n3:obor
n16:CF
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:rokUplatneniVysledku
n13:2009
n3:svazekPeriodika
30
n3:tvurceVysledku
Gaš, Bohuslav
n3:wos
000276522500001
s:issn
0173-0835
s:numberOfPages
9
n14:doi
10.1002/elps.200900133
n17:organizacniJednotka
11310