FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2071053043> ?p ?o ?g. }

• W2071053043 endingPage "1648" @default.
• W2071053043 startingPage "1613" @default.
• W2071053043 abstract "In this work, we analyze a one-dimensional steady-state Poisson--Nernst--Planck-type model for ionic flow through a membrane channel with fixed boundary ion concentrations (charges) and electric potentials. We consider two ion species, one positively charged and one negatively charged, and assume zero permanent charge. A local hard-sphere potential that depends pointwise on ion concentrations is included in the model to account for ion size effects on the ionic flow. The model problem is treated as a boundary value problem of a singularly perturbed differential system. Our analysis is based on the geometric singular perturbation theory but, most importantly, on specific structures of this concrete model. The existence of solutions to the boundary value problem for small ion sizes is established and, treating the ion sizes as small parameters, we also derive an approximation of the I-V (current-voltage) relation and identify two critical potentials or voltages for ion size effects. Under electroneutrality (zero net charge) boundary conditions, each of these two critical potentials separates the potential into two regions over which the ion size effects are qualitatively opposite to each other. On the other hand, without electroneutrality boundary conditions, the qualitative effects of ion sizes will depend not only on the critical potentials but also on boundary concentrations. Important scaling laws of I-V relations and critical potentials in boundary concentrations are obtained. Similar results about ion size effects on the flow of matter are also discussed. Under electroneutrality boundary conditions, the results on the first order approximation in ion diameters of solutions, I-V relations, and critical potentials agree with those with a nonlocal hard-sphere potential examined by Ji and Liu [J. Dynam. Differential Equations, 24 (2012), pp. 955--983]." @default.
• W2071053043 created "2016-06-24" @default.
• W2071053043 creator A5022440583 @default.
• W2071053043 creator A5040653613 @default.
• W2071053043 creator A5050604885 @default.
• W2071053043 creator A5077033119 @default.
• W2071053043 date "2013-01-01" @default.
• W2071053043 modified "2023-10-18" @default.
• W2071053043 title "Poisson--Nernst--Planck Systems for Ion Flow with a Local Hard-Sphere Potential for Ion Size Effects" @default.
• W2071053043 cites W1521219187 @default.
• W2071053043 cites W1964582727 @default.
• W2071053043 cites W1965195104 @default.
• W2071053043 cites W1967135521 @default.
• W2071053043 cites W1967543024 @default.
• W2071053043 cites W1972270832 @default.
• W2071053043 cites W1972760372 @default.
• W2071053043 cites W1975219250 @default.
• W2071053043 cites W1977899103 @default.
• W2071053043 cites W1980001934 @default.
• W2071053043 cites W1988689739 @default.
• W2071053043 cites W1989521488 @default.
• W2071053043 cites W1989987286 @default.
• W2071053043 cites W1990265247 @default.
• W2071053043 cites W1991033228 @default.
• W2071053043 cites W1992465972 @default.
• W2071053043 cites W1992971218 @default.
• W2071053043 cites W1997029800 @default.
• W2071053043 cites W1997596874 @default.
• W2071053043 cites W2006062983 @default.
• W2071053043 cites W2010931500 @default.
• W2071053043 cites W2011372139 @default.
• W2071053043 cites W2013351998 @default.
• W2071053043 cites W2014241231 @default.
• W2071053043 cites W2014943644 @default.
• W2071053043 cites W2020292773 @default.
• W2071053043 cites W2021411499 @default.
• W2071053043 cites W2026480149 @default.
• W2071053043 cites W2030155227 @default.
• W2071053043 cites W2033681908 @default.
• W2071053043 cites W2041496883 @default.
• W2071053043 cites W2043340535 @default.
• W2071053043 cites W2047841961 @default.
• W2071053043 cites W2049498585 @default.
• W2071053043 cites W2052476501 @default.
• W2071053043 cites W2053748143 @default.
• W2071053043 cites W2057876304 @default.
• W2071053043 cites W2060304556 @default.
• W2071053043 cites W2062726261 @default.
• W2071053043 cites W2069020163 @default.
• W2071053043 cites W2069831837 @default.
• W2071053043 cites W2071267996 @default.
• W2071053043 cites W2084236951 @default.
• W2071053043 cites W2087201524 @default.
• W2071053043 cites W2087496251 @default.
• W2071053043 cites W2098494477 @default.
• W2071053043 cites W2099887317 @default.
• W2071053043 cites W2101833686 @default.
• W2071053043 cites W2105344624 @default.
• W2071053043 cites W2106989936 @default.
• W2071053043 cites W2107145871 @default.
• W2071053043 cites W2112769274 @default.
• W2071053043 cites W2114889015 @default.
• W2071053043 cites W2125407321 @default.
• W2071053043 cites W2125758832 @default.
• W2071053043 cites W2126264088 @default.
• W2071053043 cites W2127434 @default.
• W2071053043 cites W2131194825 @default.
• W2071053043 cites W2131852035 @default.
• W2071053043 cites W2144992168 @default.
• W2071053043 cites W2154030203 @default.
• W2071053043 cites W2154711615 @default.
• W2071053043 cites W2157649093 @default.
• W2071053043 cites W2167085548 @default.
• W2071053043 cites W2167152334 @default.
• W2071053043 cites W2168869782 @default.
• W2071053043 cites W2169530852 @default.
• W2071053043 cites W2333337922 @default.
• W2071053043 cites W4246164144 @default.
• W2071053043 cites W4249698154 @default.
• W2071053043 doi "https://doi.org/10.1137/120904056" @default.
• W2071053043 hasPublicationYear "2013" @default.
• W2071053043 type Work @default.
• W2071053043 sameAs 2071053043 @default.
• W2071053043 citedByCount "48" @default.
• W2071053043 countsByYear W20710530432013 @default.
• W2071053043 countsByYear W20710530432014 @default.
• W2071053043 countsByYear W20710530432015 @default.
• W2071053043 countsByYear W20710530432016 @default.
• W2071053043 countsByYear W20710530432017 @default.
• W2071053043 countsByYear W20710530432018 @default.
• W2071053043 countsByYear W20710530432019 @default.
• W2071053043 countsByYear W20710530432020 @default.
• W2071053043 countsByYear W20710530432021 @default.
• W2071053043 countsByYear W20710530432022 @default.
• W2071053043 countsByYear W20710530432023 @default.
• W2071053043 crossrefType "journal-article" @default.
• W2071053043 hasAuthorship W2071053043A5022440583 @default.
• W2071053043 hasAuthorship W2071053043A5040653613 @default.

• next