Existence and uniqueness of solutions to an aggregation equation with degenerate diffusion
By Andrea L. Bertozzi, Dejan Slepcev. 2010
87 citations recorded by the source corpus.
Subfields: Mathematical Physics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/9898ca8205c83de7b7803dce731df55e418b644c
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In Mathematical Physics
- Martin Burger
- Yachun Li
- Qin Wang
- Xuecheng Tai
- Stanley J. Osher
- Tony F. Chan
- Michael Winkler
- Xiaoqun Zhang
In Modeling and Simulation
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Renormalized entropy solutions of homogeneous Dirichlet problems for quasilinear anisotropic degenerate parabolic-hyperbolic equations (2012, background): “1) and its variants, see [1,4,6,9,10,12,21] and the references cited therein.”
- Stationary states of quadratic diffusion equations with long-range attraction (2011, background): “existence and uniqueness in the context of entropy solutions [12, 8], well-posedness in the context of Wasserstein gradient flows as a special case of the theory developed in [1], and - in particular in connection with the classical Patlak-Keller-Segel model for chemotaxis [47, 32] - with respect to”
- On minimizers of interaction functionals with competing attractive and repulsive potentials (2015, unknown): “[7, 8, 14, 17, 20, 21, 22, 23]).”