科研之友
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摘要
We study the nonlinear stability of a large class of inhomogeneous steady state solutions to the Hamiltonian mean field (HMF) model. Under a specific criterion, we prove the nonlinear stability of steady states which are decreasing functions of the microscopic energy. To achieve this task, we extend to this context the strategy based on generalized rearrangement techniques which was developed recently for the gravitational Vlasov-Poisson equation. Explicit stability inequalities are established and our analysis is able to treat non-compactly supported steady states to HMF, which are physically relevant in this context but which induce additional difficulties compared to the Vlasov-Poisson system.
- 出版日期2017-5
- 单位INRIA
