Description

• Tytuł:
  Quasilinear non-uniformly parabolic-elliptic system modelling chemotaxis with volume filling effect. Existence and uniqueness of global-in-time solutions
• Twórca:
  Cieślak, Tomasz;
  Morale-Rodrigo, Cristian
• Opis:
  A system of quasilinear non-uniformly parabolic-elliptic equations modelling chemotaxis and taking into account the volume filling effect is studied under no-flux boundary conditions. The proof of existence and uniqueness of a global-in-time weak solution is given. First the local solutions are constructed. This is done by the Schauder fixed point theorem. Uniqueness is proved with the use of the duality method. A priori estimates are stated either in the case when the Lyapunov functional is bounded from below or chemotactic forces are suitably weakened.
• Dostępność obiektu:
  free access
• Prawa:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Data:
  2007.06.01
• Typ:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Język:
  English
• Źródło:
  Topological Methods in Nonlinear Analysis; Vol 29, No 2 (June 2007); 361 - 381;
  1230-3429
• Wydawca:
  Nicolaus Copernicus University in Toruń
• Relacja: https://apcz.umk.pl/TMNA/article/view/TMNA.2007.015/8850
• Temat i słowa kluczowe:
  Chemotaxis equations;
  global-in-time existence and uniqueness;
  quasilinear reaction-diffusion systems;
  prevention of blow-up;
  Schauder fixed point theorem;
  92C17;
  35K60;
  35K57
• Identyfikator: https://apcz.umk.pl/TMNA/article/view/TMNA.2007.015
• Dostawca danych:
  Akademicka Platforma Czasopism
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