Well-Posedness and Convergence to the Steady State for a Model of Morphogen Transport

DOI10.1137/070711608zbMath1178.35071OpenAlexW2051972198MaRDI QIDQ3398267

Dariusz Wrzosek, Piotr Krzyżanowski, Philippe Laurençot

Publication date: 28 September 2009

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070711608

zbMATH Keywords

Lyapunov functionalsteady statedegenerate parabolic systemmorphogen

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Degenerate parabolic equations (35K65) Hyperbolicity, Lyapunov functions for infinite-dimensional dissipative dynamical systems (37L45)

Related Items (6)

A model of morphogen transport in the presence of glypicans. III. ⋮ Mathematical analysis on a multidimensional model of morphogen transport with receptor synthesis ⋮ Mathematical analysis of a model of chemotaxis arising from morphogenesis ⋮ A model of morphogen transport in the presence of glypicans. II ⋮ Well-posedness and asymptotic behavior a multidimensional model of morphogen transport ⋮ MATHEMATICAL MODELS OF RECEPTOR-MEDIATED TRANSPORT OF MORPHOGENS

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