Scholars@Duke
Aric A Wheeler

Aric A Wheeler

Phillip Griffiths Assistant Research Professor
Mathematics

Selected Publications

Convective Turing bifurcation

Journal Article Mathematical Models and Methods in Applied Sciences · March 2026 Following the approach pioneered by Eckhaus, Mielke, Schneider, and others for reaction–diffusion systems, we justify rigorously by Lyapunov–Schmidt reduction the formal amplitude (complex Ginzburg–Landau) equations describing Turing-type bifurcati ... Full text Cite

Majda and ZND Models for Detonation: Nonlinear Stability vs. Formation of Singularities

Journal Article SIAM Journal on Mathematical Analysis · October 31, 2024 Full text Cite

Isolas Versus Snaking of Localized Rolls

Journal Article Journal of Dynamics and Differential Equations · September 2019 Full text Cite

Geometric Optics for Rayleigh Wavetrains in d-Dimensional

Journal Article SIAM Journal on Mathematical Analysis · January 2018 Full text Cite