Long-time behaviour and phase transitions for the Mckean–Vlasov equation on the torus
We study the McKean–Vlasov equation ∂tϱ=β-1Δϱ+κ∇·(ϱ∇(W⋆ϱ)),with periodic boundary conditions on the torus. We first study the global asymptotic stability of the homogeneous steady state. We then focus our attention on the stationary system, and prove the existence of nontrivial solutions branching f...
| Main Authors: | , , , |
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| Format: | Journal article |
| Jezik: | English |
| Izdano: |
Springer Nature
2019
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