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Large-time asymptotics for general cross-diffusion systems and novel convex Sobolev inequalities

Geltner, Noah et al.
arXiv (All) · Papers
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35b40analysis-of-pdesfunctional-analysis
The exponential decay of weak solutions towards the constant steady state of general cross-diffusion systems in bounded domains with no-flux boundary conditions is investigated. The proof of quantitative decay rates is based on the relative entropy method and involves two parameters: the exponent de
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