This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.Druet, Pierre-Étienne2017-12-212019-06-2820172198-5855https://doi.org/10.34657/2599https://oa.tib.eu/renate/handle/123456789/2726We show that fully quasilinear parabolic systems are locally well posed in the Hilbert space scala if the coefficients of the differential operator are smooth enough and the spatial domain is sufficiently regular. In the context of diffusion systems driven by entropy, the uniform parabolicity follows from the second law of thermodynamics.application/pdfeng510Doubly nonlinear parabolic systemadvection–diffusion–reaction equationsa-priori estimateslocal–in–time existence and uniquenessclassical solutionsReport