Browsing Mathematics & Statistics Faculty Research, Publications and Presentations by Author "Kolokolnikov, Theodore"
Now showing items 1-7 of 7
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Simple PDE model of spot replication in any dimension
Chen, Chiun-Chuan, and Theodore Kolokolnikov. 2012. "Simple PDE model of spot replication in any dimension." SIAM Journal on Mathematical Analysis 44(5): 3564-3593. Copyright © 2012, Society for Industrial and Applied Mathematics.No abstract available. -
Smoke-ring solutions of Gierer-Meinhardt system in R3
Kolokolnikov, Theodore, and Xiaofeng Ren. 2011. "Smoke-ring solutions of Gierer-Meinhardt system in R3." SIAM Journal on Applied Dynamical Systems 10(1): 251-277. Copyright © 2011 Society for Industrial and Applied Mathematics.No abstract available. -
Spot deformation and replication in the two-dimensional Belousov-Zhabotinski reaction in a water-in-oil microemulsion
Kolokolnikov, Theodore, and Mustapha Tlidi. 2007. "Spot deformation and replication in the two-dimensional Belousov-Zhabotinski reaction in a water-in-oil microemulsion." Physical Review Letters 98(18): 188303-188303. Copyright © 2007 American Physical Society.No abstract available. -
The stability of a stripe for the Gierer-Meinhardt model and the effect of saturation
Kolokolnikov, Theodore, Wentao Sun, Michael Ward, and Juncheng Wei. 2006. "The stability of a stripe for the Gierer-Meinhardt model and the effect of saturation." SIAM Journal on Applied Dynamical Systems 5(2): 313-363 (eetron). Copyright © 2006 Society for Industrial and Applied Mathematics.No abstract available. -
Stability of curved interfaces in the perturbed two-dimensional Allen-Cahn system
Iron, David, Theodore Kolokolnikov, John Rumsey, and Juncheng Wei. 2009. "Stability of curved interfaces in the perturbed two-dimensional Allen-Cahn system." SIAM Journal on Applied Mathematics 69(5): 1228-1243. Copyright © 2009 Society for Industrial and Applied Mathematics.No abstract available. -
Stability of ring patterns arising from two-dimensional particle interactions
Kolokolnikov, Theodore, Hui Sun, David Uminsky, and Andrea L. Bertozzi. 2011. "Stability of ring patterns arising from two-dimensional particle interactions." Physical Review E 84(1): 015203-015203. Copyright © 2011 American Physical Society.No abstract available. -
Stability of spiky solutions in a competition model with cross-diffusion
Kolokolnikov, Theodore, and Juncheng Wei. 2011. "Stability of spiky solutions in a competition model with cross-diffusion." SIAM Journal on Applied Mathematics 71(4): 1428-1457. Copyright © 2011 Society for Industrial and Applied Mathematics.No abstract available.