Diffusive stability of convective Turing patterns
Publication
, Journal Article
Wheeler, A; Zumbrun, K
Published in: Mathematical Models and Methods in Applied Sciences
January 1, 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
January 1, 2026
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. Mathematical Models and Methods in Applied Sciences. https://doi.org/10.1142/S0218202526500247
Wheeler, A., and K. Zumbrun. “Diffusive stability of convective Turing patterns.” Mathematical Models and Methods in Applied Sciences, January 1, 2026. https://doi.org/10.1142/S0218202526500247.
Wheeler A, Zumbrun K. Diffusive stability of convective Turing patterns. Mathematical Models and Methods in Applied Sciences. 2026 Jan 1;
Wheeler, A., and K. Zumbrun. “Diffusive stability of convective Turing patterns.” Mathematical Models and Methods in Applied Sciences, Jan. 2026. Scopus, doi:10.1142/S0218202526500247.
Wheeler A, Zumbrun K. Diffusive stability of convective Turing patterns. Mathematical Models and Methods in Applied Sciences. 2026 Jan 1;
Published In
Mathematical Models and Methods in Applied Sciences
DOI
EISSN
1793-6314
ISSN
0218-2025
Publication Date
January 1, 2026
Related Subject Headings
- Applied Mathematics
- 4901 Applied mathematics