---
res:
  bibo_abstract:
  - The global existence of renormalised solutions and convergence to equilibrium
    for reaction-diffusion systems with non-linear diffusion are investigated. The
    system is assumed to have quasi-positive non-linearities and to satisfy an entropy
    inequality. The difficulties in establishing global renormalised solutions caused
    by possibly degenerate diffusion are overcome by introducing a new class of weighted
    truncation functions. By means of the obtained global renormalised solutions,
    we study the large-time behaviour of complex balanced systems arising from chemical
    reaction network theory with non-linear diffusion. When the reaction network does
    not admit boundary equilibria, the complex balanced equilibrium is shown, by using
    the entropy method, to exponentially attract all renormalised solutions in the
    same compatibility class. This convergence extends even to a range of non-linear
    diffusion, where global existence is an open problem, yet we are able to show
    that solutions to approximate systems converge exponentially to equilibrium uniformly
    in the regularisation parameter.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Klemens
      foaf_name: Fellner, Klemens
      foaf_surname: Fellner
  - foaf_Person:
      foaf_givenName: Julian L
      foaf_name: Fischer, Julian L
      foaf_surname: Fischer
      foaf_workInfoHomepage: http://www.librecat.org/personId=2C12A0B0-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-0479-558X
  - foaf_Person:
      foaf_givenName: Michael
      foaf_name: Kniely, Michael
      foaf_surname: Kniely
      foaf_workInfoHomepage: http://www.librecat.org/personId=2CA2C08C-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0001-5645-4333
  - foaf_Person:
      foaf_givenName: Bao Quoc
      foaf_name: Tang, Bao Quoc
      foaf_surname: Tang
  bibo_doi: 10.1007/s00332-023-09926-w
  bibo_volume: 33
  dct_date: 2023^xs_gYear
  dct_identifier:
  - UT:001002343400002
  dct_isPartOf:
  - http://id.crossref.org/issn/0938-8974
  - http://id.crossref.org/issn/1432-1467
  dct_language: eng
  dct_publisher: Springer Nature@
  dct_title: Global renormalised solutions and equilibration of reaction-diffusion
    systems with non-linear diffusion@
...
