Some New Well-Posedness Results for Continuity and Transport Equations, and Applications to the Chromatography System
نویسندگان
چکیده
We obtain various new well-posedness results for continuity and transport equations, among them an existence and uniqueness theorem (in the class of strongly continuous solutions) in the case of vector fields with bounded compression and possibly having a blow-up of the BV norm at the initial time. We apply these results, valid in any space dimension, to a 2×2 system of conservation laws in one space dimension arising in the theory of chromatography, and to the k × k Keyfitz and Kranzer system in one space dimension.
منابع مشابه
Some new well-posedness results for continuity and transport equations, and applications to the chromatography systems
We obtain various new well-posedness results for continuity and transport equations, among them an existence and uniqueness theorem (in the class of strongly continuous solutions) in the case of vector fields with bounded compression and possibly having a blow-up of the BV norm at the initial time. We apply these results, valid in any space dimension, to a 2×2 system of conservation laws in one...
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عنوان ژورنال:
- SIAM J. Math. Analysis
دوره 41 شماره
صفحات -
تاریخ انتشار 2009