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24 June 2024
 
  » arxiv » 2302.00393

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Self-Similar Pattern in Coupled Parabolic Systems as Non-Equilibrium Steady States
Alexander Mielke ; Stefanie Schindler ;
Date 1 Feb 2023
AbstractWe consider reaction-diffusion systems and other related dissipative systems on unbounded domains which would have a Liapunov function (and gradient structure) when posed on a finite domain. In this situation, the system may reach local equilibrium on a rather fast time scale but the infinite amount of mass or energy leads to persistent mass or energy flow for all times. In suitably rescaled variables the system converges to a steady state that corresponds to asymptotically self-similar behavior in the original system.
Source arXiv, 2302.00393
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