Domain Size Driven Instability: Self-Organization in Systems with Advection

DOI10.1137/17M1138571zbMath1396.35035OpenAlexW2892112692WikidataQ129281987 ScholiaQ129281987MaRDI QIDQ4683828

Michał Kozak, Václav Klika, Eamonn A. Gaffney

Publication date: 26 September 2018

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1138571

zbMATH Keywords

pattern formationself-organizationTuring instabilityreaction-diffusion-advectiondiffusion-driven instability

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Pattern formations in context of PDEs (35B36)

Related Items (11)

Pattern formation revisited within nonequilibrium thermodynamics: Burgers'-type equation ⋮ Boundary conditions cause different generic bifurcation structures in Turing systems ⋮ Bespoke Turing systems ⋮ Morphogen-directed cell fate boundaries: slow passage through bifurcation and the role of folded saddles ⋮ Liouville-Green approximation for linearly coupled systems: asymptotic analysis with applications to reaction-diffusion systems ⋮ Turing patterning in stratified domains ⋮ Significance of non-normality-induced patterns: Transient growth versus asymptotic stability ⋮ An influence of unilateral sources and sinks in reaction-diffusion systems exhibiting Turing's instability on bifurcation and pattern formation ⋮ Isolating patterns in open reaction-diffusion systems ⋮ Diffusive instabilities and spatial patterning from the coupling of reaction–diffusion processes with Stokes flow in complex domains ⋮ Analysis of pattern formation using numerical continuation.

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