Diffusive stability of convective Turing patterns
Publication
, Journal Article
Wheeler, A; Zumbrun, K
Published in: Mathematical Models and Methods in Applied Sciences
June 30, 2026
Following the approach of Eckhaus, Mielke, and Schneider for reaction–diffusion systems, we justify rigorously the Eckhaus stability criterion for stability of convective Turing patterns, as derived formally by complex Ginzburg–Landau approximation. Notably, our analysis includes higher-order, nonlocal, and even certain semilinear hyperbolic systems.
Duke Scholars
Published In
Mathematical Models and Methods in Applied Sciences
DOI
EISSN
1793-6314
ISSN
0218-2025
Publication Date
June 30, 2026
Volume
36
Issue
7
Start / End Page
1415 / 1459
Related Subject Headings
- Applied Mathematics
- 4901 Applied mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Wheeler, A., & Zumbrun, K. (2026). Diffusive stability of convective Turing patterns (Accepted). Mathematical Models and Methods in Applied Sciences, 36(7), 1415–1459. https://doi.org/10.1142/S0218202526500247
Wheeler, A., and K. Zumbrun. “Diffusive stability of convective Turing patterns (Accepted).” Mathematical Models and Methods in Applied Sciences 36, no. 7 (June 30, 2026): 1415–59. https://doi.org/10.1142/S0218202526500247.
Wheeler A, Zumbrun K. Diffusive stability of convective Turing patterns (Accepted). Mathematical Models and Methods in Applied Sciences. 2026 Jun 30;36(7):1415–59.
Wheeler, A., and K. Zumbrun. “Diffusive stability of convective Turing patterns (Accepted).” Mathematical Models and Methods in Applied Sciences, vol. 36, no. 7, June 2026, pp. 1415–59. Scopus, doi:10.1142/S0218202526500247.
Wheeler A, Zumbrun K. Diffusive stability of convective Turing patterns (Accepted). Mathematical Models and Methods in Applied Sciences. 2026 Jun 30;36(7):1415–1459.
Published In
Mathematical Models and Methods in Applied Sciences
DOI
EISSN
1793-6314
ISSN
0218-2025
Publication Date
June 30, 2026
Volume
36
Issue
7
Start / End Page
1415 / 1459
Related Subject Headings
- Applied Mathematics
- 4901 Applied mathematics