Global existence and uniqueness of solutions for multidimensional weakly parabolic systems arising in chemistry and biology (Altre pubblicazioni)

Type
Label
  • Global existence and uniqueness of solutions for multidimensional weakly parabolic systems arising in chemistry and biology (Altre pubblicazioni) (literal)
Anno
  • 2005-01-01T00:00:00+01:00 (literal)
Alternative label
  • F. R. Guarguaglini, R. Natalini (2005)
    Global existence and uniqueness of solutions for multidimensional weakly parabolic systems arising in chemistry and biology
    (literal)
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  • F. R. Guarguaglini, R. Natalini (literal)
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  • IAC Report 83 (12/2005); to appear in Communications on Pure and Applied Analysis (literal)
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  • In this paper we establish general well-posedeness results for a wide class of weakly parabolic 2X2 systems in a bounded domain of $\R^N$. Our results cover examples arising in sulphation of marbles and chemotaxis, when the density of one chemical component is not diffusing. We show that, under quite general assumptions, uniform $L^\infty$ estimates are sufficient to establish the global existence and stability of solutions, even if in general the nonlinear terms in the equations depend also on the gradient of the solutions. Applications are presented and discussed. (literal)
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  • Memorie interne (literal)
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  • Dip. Matematica Pura e Applicata, Univ. L'Aquila; Istituto per le Applicazioni del Calcolo “M. Picone”, CNR (literal)
Titolo
  • Global existence and uniqueness of solutions for multidimensional weakly parabolic systems arising in chemistry and biology (literal)
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