Description

• Tytuł:
  On long-time dynamics for competition-diffusion systems with inhomogeneous Dirichlet boundary conditions
• Twórca:
  Crooks, Elaine C. M.;
  Dancer, E. Norman;
  Hilhorst, Danielle
• Opis:
  We consider a two-component competition-diffusion system with equal diffusion coefficients and inhomogeneous Dirichlet boundary conditions. When the interspecific competition parameter tends to infinity, the system solution converges to that of a free-boundary problem. If all stationary solutions of this limit problem are non-degenerate and if a certain linear combination of the boundary data does not identically vanish, then for sufficiently large interspecific competition, all non-negative solutions of the competition-diffusion system converge to stationary states as time tends to infinity. Such dynamics are much simpler than those found for the corresponding system with either homogeneous Neumann or homogeneous Dirichlet boundary conditions.
• Dostępność obiektu:
  free access
• Prawa:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Data:
  2007.09.01
• Typ:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Język:
  English
• Źródło:
  Topological Methods in Nonlinear Analysis; Vol 30, No 1 (September 2007); 1 - 36;
  1230-3429
• Wydawca:
  Nicolaus Copernicus University in Toruń
• Relacja: https://apcz.umk.pl/TMNA/article/view/TMNA.2007.017/8836
• Temat i słowa kluczowe:
  Competition-diffusion system;
  boundary-value problem;
  singular limit;
  long-time behaviour;
  spatial segregation;
  35K50;
  35B40;
  35K57;
  92D25
• Identyfikator: https://apcz.umk.pl/TMNA/article/view/TMNA.2007.017
• Dostawca danych:
  Akademicka Platforma Czasopism
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