Global existence of unique solutions to equations for pattern formation in active mixtures

DOI10.1016/j.chaos.2022.112337zbMath1504.35575OpenAlexW4283379995MaRDI QIDQ2112929

Hantaek Bae

Publication date: 12 January 2023

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112337

zbMATH Keywords

pattern formationglobal solutionsWiener spaceactive system

Mathematics Subject Classification ID

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

Cites Work

• Global existence and exponential decay to equilibrium for DLSS-type equations
• Heterophilious Dynamics Enhances Consensus
• The Three-Dimensional Navier–Stokes Equations
• On the Mathematics of Swarming: Emergent Behavior in Alignment Dynamics
• Emergent Behavior in Flocks