Perturbative Cauchy theory for a flux-incompressible Maxwell-Stefan system

<p style='text-indent:20px;'>Recently, the authors proved [<xref ref-type="bibr" rid="b2">2</xref>] that Maxwell-Stefan system with an incompressibility-like condition on total flux can be rigorously derived from multi-species Boltzmann equation. Similar cross-diffusion models have been widely investigated, but particular case of a perturbative incompressible setting around non constant equilibrium state mixture (needed in rid="b2">2</xref>]) seems absent literature. We thus establish quantitative Cauchy theory Sobolev spaces for it. More precisely, by reducing analysis to study quasilinear parabolic equation sole concentrations and use suitable anisotropic norm, we prove global existence uniqueness strong solutions their exponential trend regime any macroscopic mixture. As by-product, show equimolar diffusion naturally appears this setting.</p>