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Existence and uniqueness results for the continuity equation and applications to the chromatography system

Ambrosio, L; Crippa, G; Figalli, A; Spinolo, L V (2011). Existence and uniqueness results for the continuity equation and applications to the chromatography system. In: Bressan, A; Chen, G Q G; Lewicka, M; Wang, D. Nonlinear conservation laws and applications. Proceedings of the summer program, IMA, Minneapolis, MN, USA, July 13-31, 2009. New York, NY, US: Springer, 195-204.

Abstract

We discuss some new well-posedness results for the continuity equation in arbitrary space dimension and we then illustrate applications to a system of conservation laws in one space dimension known as the chromatography system. In the last section, we discuss some related open problems.

Additional indexing

Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:2011
Deposited On:17 Feb 2012 21:01
Last Modified:07 Nov 2024 02:36
Publisher:Springer
Series Name:The IMA Volumes in Mathematics and its Applications
Number:153
ISSN:0940-6573
ISBN:978-1-4419-9553-7 (P) 978-1-4419-9554-4 (E)
OA Status:Closed
Publisher DOI:https://doi.org/10.1007/978-1-4419-9554-4_8
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