Publication: Existence and uniqueness results for the continuity equation and applications to the chromatography system
Existence and uniqueness results for the continuity equation and applications to the chromatography system
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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 A. Bressan, G. Q. G. Chen, M. Lewicka, & D. Wang (Eds.), Nonlinear conservation laws and applications. Proceedings of the summer program, IMA, Minneapolis, MN, USA, July 13-31, 2009 (No. 153; Issue 153, pp. 195–204). Springer. https://doi.org/10.1007/978-1-4419-9554-4_8
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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.
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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 A. Bressan, G. Q. G. Chen, M. Lewicka, & D. Wang (Eds.), Nonlinear conservation laws and applications. Proceedings of the summer program, IMA, Minneapolis, MN, USA, July 13-31, 2009 (No. 153; Issue 153, pp. 195–204). Springer. https://doi.org/10.1007/978-1-4419-9554-4_8