Long time behavior of a model for the evolution of morphogens in a growing tissue. II: \( \theta < \log 2\)

DOI10.1016/j.jde.2020.10.019zbMath1454.35031OpenAlexW3093518795MaRDI QIDQ2216067

Mario Michele Coclite, Giuseppe Maria Coclite

Publication date: 15 December 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.10.019

zbMATH Keywords

Neumann boundary conditionsmethod of characteristicssingular diffusionmorphogen evolutionZbl 07286424

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Nonlinear boundary value problems for ordinary differential equations (34B15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Degenerate parabolic equations (35K65) Initial-boundary value problems for second-order parabolic systems (35K51)

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On a singular limit as \(\theta \rightarrow 0\) for a model for the evolution of morphogens in a growing tissue ⋮ Variable-order time-fractional diffusion equation with Mittag-Leffler kernel: regularity analysis and uniqueness of determining variable order ⋮ Well-posedness and regularity of Caputo-Hadamard fractional stochastic differential equations ⋮ Free boundary problem for the role of planktonic cells in biofilm formation and development ⋮ Analysis of viscoelastic flow with a generalized memory and its exponential convergence to steady state

Cites Work

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• On a model for the evolution of morphogens in growing tissue. III: \(\theta < \log(2)\)
• Su un problema al contorno per le equazioni paraboliche del tipo del calore in due variabili
• On nonlinear parabolic equations of very fast diffusion
• On a model for the evolution of morphogens in a growing tissue II: \(\theta = \log (2)\) case
• Long time behavior of a model for the evolution of morphogens in a growing tissue
• Dependence on boundary data and a generalized boundary-value problem
• On a Model for the Evolution of Morphogens in a Growing Tissue

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