---
res:
bibo_abstract:
- 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.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Julian L
foaf_name: Julian Fischer
foaf_surname: Fischer
foaf_workInfoHomepage: http://www.librecat.org/personId=2C12A0B0-F248-11E8-B48F-1D18A9856A87
bibo_doi: 10.1007/s00205-015-0866-x
bibo_issue: '1'
bibo_volume: 218
dct_date: 2015^xs_gYear
dct_publisher: Springer@
dct_title: Global existence of renormalized solutions to entropy-dissipating reactionâ€“diffusion
systems@
...