CrossRef Open Access 2022 6 sitasi

On the fast spreading scenario

Siming He Eitan Tadmor Andrej Zlatoš

Abstrak

We study two types of divergence-free fluid flows on unbounded domains in two and three dimensions—hyperbolic and shear flows—and their influence on chemotaxis and combustion. We show that fast spreading by these flows, when they are strong enough, can suppress growth of solutions to PDE modeling these phenomena. This includes prevention of singularity formation and global regularity of solutions to advective Patlak-Keller-Segel equations on R 2 \mathbb {R}^2 and R 3 \mathbb {R}^3 , confirming numerical observations by Khan, Johnson, Cartee, and Yao [Involve 9 (2016), pp. 119–131], as well as quenching in advection-reaction-diffusion equations.

Penulis (3)

Siming He

Eitan Tadmor

Andrej Zlatoš

Format Sitasi

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He, S., Tadmor, E., Zlatoš, A. (2022). On the fast spreading scenario. https://doi.org/10.1090/cams/6

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Total Sitasi: 6×
Sumber Database: CrossRef
DOI: 10.1090/cams/6
Akses: Open Access ✓