For several classes of cross-diffusion systems, normal ellipticity of the diffusion matrix together with symmetry of the transformed matrix is shown to be sufficient, and for constant or nearly constant matrices equivalent, to the existence of an entropy structure.
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When do cross-diffusion systems have an entropy structure?
For several classes of cross-diffusion systems, normal ellipticity of the diffusion matrix together with symmetry of the transformed matrix is shown to be sufficient, and for constant or nearly constant matrices equivalent, to the existence of an entropy structure.