<div class="csl-bib-body">
<div class="csl-entry">Fellner, M., & Jüngel, A. (2024). Existence analysis of a cross-diffusion system with nonlinear Robin boundary conditions for vesicle transport in neurites. <i>Nonlinear Analysis</i>, <i>241</i>, Article 113494. https://doi.org/10.1016/j.na.2024.113494</div>
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dc.identifier.issn
0362-546X
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/193949
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dc.description.abstract
A one-dimensional cross-diffusion system modeling the transport of vesicles in neurites is analyzed. The equations are coupled via nonlinear Robin boundary conditions to ordinary differential equations for the number of vesicles in the reservoirs in the cell body and the growth cone at the end of the neurite. The existence of bounded weak solutions is proved by using the boundedness-by-entropy method. Numerical simulations show the dynamical behavior of the concentrations of anterograde and retrograde vesicles in the neurite.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.description.sponsorship
European Commission
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dc.language.iso
en
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dc.publisher
Elsevier
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dc.relation.ispartof
Nonlinear Analysis
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.subject
Cross-diffusion equations
en
dc.subject
Existence analysis
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dc.subject
Neurite growth
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dc.subject
Nonlinear robin boundary conditions
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dc.subject
Vesicle transport
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dc.title
Existence analysis of a cross-diffusion system with nonlinear Robin boundary conditions for vesicle transport in neurites