Nonlocal Balance Equation: Representation and Approximation of Solution
Author:
Funder
HSE University Basic Research Program
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s10884-024-10373-8.pdf
Reference28 articles.
1. Duteil, N.P.: Mean-field limit of collective dynamics with time-varying weights. Netw. Heterog. Media 17(2), 129–161 (2022). https://doi.org/10.3934/nhm.2022001
2. Piccoli, B., Duteil, N.P.: Control of collective dynamics with time-varying weights. In: Recent Advances in Kinetic Equations and Applications, pp. 289–308. Springer (2021)
3. Crippa, G., Lécureux-Mercier, M.: Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow. Nonlinear Differ. Equ. Appl. 20, 523–537 (2013). https://doi.org/10.1007/s00030-012-0164-3
4. Kolokoltsov, V.: Differential Equations on Measures and Functional Spaces. Birkhäuser, Basel (2019). https://doi.org/10.1007/978-3-030-03377-4
5. Keimer, A., Pflug, L.: Chapter 6 - nonlocal balance laws - an overview over recent results. In: Trélat, E., Zuazua, E. (eds.) Numerical Control: Part B. Handbook of Numerical Analysis, vol. 24, pp. 183–216. Elsevier, Amsterdam (2023). https://doi.org/10.1016/bs.hna.2022.11.001. https://www.sciencedirect.com/science/article/pii/S1570865922000217
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