caa a22 4500 605515751 CHVBK 20210128100710.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s00205-015-0866-x doi (NATIONALLICENCE)springer-10.1007/s00205-015-0866-x Fischer J. Max Planck Institute for Mathematics in the Sciences, Inselstr. 22, 04103, Leipzig, Germany aut Global Existence of Renormalized Solutions to Entropy-Dissipating Reaction-Diffusion Systems [Elektronische Daten] [J. Fischer] In the present work we introduce the notion of a renormalized solution for reaction-diffusion systems with entropy-dissipating reactions. We establish the global existence of renormalized solutions. In the case of integrable reaction terms our notion of a renormalized solution reduces to the usual notion of a weak solution. Our existence result in particular covers all reaction-diffusion systems involving a single reversible reaction with mass-action kinetics and (possibly species-dependent) Fick-law diffusion; more generally, it covers the case of systems of reversible reactions with mass-action kinetics which satisfy the detailed balance condition. For such equations the existence of any kind of solution in general was an open problem, thereby motivating the study of renormalized solutions. Springer-Verlag Berlin Heidelberg, 2015 Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 218/1(2015-10-01), 553-587 0003-9527 218:1<553 2015 218 205 https://doi.org/10.1007/s00205-015-0866-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-015-0866-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Fischer J. Max Planck Institute for Mathematics in the Sciences, Inselstr. 22, 04103, Leipzig, Germany aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 218/1(2015-10-01), 553-587 0003-9527 218:1<553 2015 218 205