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Wasserstein steepest descent flows of discrepancies with Riesz kernels
Johannes Hertrich, Manuel Gräf, Robert Beinert and Gabriele Steidl Journal of Mathematical Analysis and Applications 531(1) 127829 (2024) https://doi.org/10.1016/j.jmaa.2023.127829
Vanishing viscosity limit for aggregation-diffusion equations
Frédéric Lagoutière, Filippo Santambrogio and Sébastien Tran Tien Journal de l’École polytechnique — Mathématiques 11 1123 (2024) https://doi.org/10.5802/jep.275
Interpreting systems of continuity equations in spaces of probability measures through PDE duality
José A. Carrillo and David Gómez-Castro Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 118(3) (2024) https://doi.org/10.1007/s13398-024-01628-6
To blow-up or not to blow-up for a granular kinetic equation
Many-particle limit for a system of interaction equations driven by Newtonian potentials
Marco Di Francesco, Antonio Esposito and Markus Schmidtchen Calculus of Variations and Partial Differential Equations 60(2) (2021) https://doi.org/10.1007/s00526-021-01960-4
Relaxation Limit of the Aggregation Equation with Pointy Potential
On the pressureless damped Euler–Poisson equations with quadratic confinement: Critical thresholds and large-time behavior
José A. Carrillo, Young-Pil Choi and Ewelina Zatorska Mathematical Models and Methods in Applied Sciences 26(12) 2311 (2016) https://doi.org/10.1142/S0218202516500548
Equivalence between duality and gradient flow solutions for one-dimensional aggregation equations