10.1007/s00205-015-0866-x
Julian Fischer
Julian L
Fischer
Global existence of renormalized solutions to entropy-dissipating reactionâ€“diffusion systems
Springer
2015
2018-12-11T11:51:20Z
2019-04-26T07:22:03Z
journal_article
https://research-explorer.app.ist.ac.at/record/1316
https://research-explorer.app.ist.ac.at/record/1316.json
In the present work we introduce the notion of a renormalized solution for reactionâ€“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 reactionâ€“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.