On a novel gradient flow structure for the aggregation equation
The aggregation equation arises naturally in kinetic theory in the study of granular media, and its interpretation as a 2-Wasserstein gradient flow for the nonlocal interaction energy is well-known. Starting from the spatially homogeneous inelastic Boltzmann equation, a formal Taylor expansion revea...
Main Authors: | Esposito, A, Gvalani, RS, Schlichting, A, Schmidtchen, M |
---|---|
Format: | Journal article |
Jezik: | English |
Izdano: |
Springer
2024
|
Podobne knjige/članki
-
Phase transitions for nonlinear nonlocal aggregation-diffusion equations
od: Carrillo, JA, et al.
Izdano: (2021) -
Nonlocal-interaction equation on graphs: Gradient flow structure and continuum limit
od: Esposito, A, et al.
Izdano: (2021) -
Long-time behaviour and phase transitions for the Mckean–Vlasov equation on the torus
od: Carrillo, JA, et al.
Izdano: (2019) -
Fully discrete positivity-preserving and energy-dissipating schemes for aggregation-diffusion equations with a gradient-flow structure
od: Bailo, R, et al.
Izdano: (2020) -
Many-particle limit for a system of interaction equations driven by Newtonian potentials
od: Di Francesco, M, et al.
Izdano: (2021)