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• W2563573886 abstract "We study general quadratic reaction-diffusion systems with detailed balance, in space dimension $d leq 4$. We show that close-to-equilibrium solutions (in an $L^2$ sense) are regular for all times, and that they relax to equilibrium exponentially in a strong sense. That is: all detailed balance equilibria are exponentially asymptotically stable in all $L^p$ norms, at least in dimension $d leq 4$. The results are given in detail for the four-species reaction-diffusion system, where the involved constants can be estimated explicitly. The main novelty is the regularity result and exponential relaxation in $L^p$ norms for $p > 1$, which up to our knowledge is new in dimensions 3 and 4." @default.
• W2563573886 created "2017-01-06" @default.
• W2563573886 creator A5009744380 @default.
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• W2563573886 date "2017-08-01" @default.
• W2563573886 modified "2023-10-11" @default.
• W2563573886 title "Close-to-equilibrium behaviour of quadratic reaction–diffusion systems with detailed balance" @default.
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• W2563573886 doi "https://doi.org/10.1016/j.na.2017.03.007" @default.
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