Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-21331
Chipot, M; Hilhorst, D; Kinderlehrer, D; Olech, M (2009). Contraction in L¹ for a system arising in chemical reactions and molecular motors. Differential Equations & Applications, 1(1):139-151.
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We prove a contraction in L1 property for the solutions of a nonlinear reaction– diffusion system whose special cases include a system related to intracellular transport as well as reversible chemical reactions. We then consider the special case of the linear molecular motor problem and prove the existence and uniqueness of the stationary solution up to a multiplicative constant, extending to arbitrary space dimension results which were already known in the one dimensional case; this in turn implies the convergence to stationary solutions of the solutions of the time evolution linear molecular motor problem.
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|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Dewey Decimal Classification:||510 Mathematics|
|Deposited On:||29 Nov 2010 16:24|
|Last Modified:||01 Jan 2013 23:20|
|Free access at:||Official URL. An embargo period may apply.|
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