On the large time behavior of the solutions of a nonlocal ordinary differential equation with mass conservation

DOI10.1007/s10884-015-9465-7zbMath1350.35032arXiv1501.05103OpenAlexW1833008280WikidataQ115383514 ScholiaQ115383514MaRDI QIDQ330521

Danielle Hilhorst, Hendrik Weber, Thanh Nam Nguyen, Hiroshi Matano

Publication date: 26 October 2016

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05103

zbMATH Keywords

gradient flowbistable nonlinearity\(\omega\)-limit setconvergence to steady-statesrearrangement theory

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (35R09)

Related Items

Finite-time blow-up and global convergence of solutions to a nonlocal parabolic equation with conserved spatial integral ⋮ Generation of Interface for Solutions of the Mass Conserved Allen--Cahn Equation ⋮ Sharp interface limit for stochastically perturbed mass conserving Allen-Cahn equation ⋮ Large time behavior and Lyapunov functionals for a nonlocal differential equation ⋮ Spherical Hellinger--Kantorovich Gradient Flows

Cites Work

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• Generation of Interface for Solutions of the Mass Conserved Allen--Cahn Equation