Ibrahim Fatkullin :: Homepage

Associate Professor of Mathematics at UA
MATH322 :: ibrahim at math arizona edu

publications

1. A study of blow-ups in the Keller-Segel model of chemotaxis
   Nonlinearity 26(1):81 2013 :: [pdf]
2. Stochastic filtering for diffusion processes with level crossings
   with Agostino Capponi and Ling Shi :: IEEE TAC 56(9):2201 2011 :: [pdf]
3. Reduced dynamics of stochastically perturbed gradient flows
   with Gregor Kovacic and Eric Vanden-Eijnden :: CMS 8(2):439 2010 :: [pdf]
4. Vortices in two-dimensional nematics
   with Valeriy Slastikov :: CMS 7(4):917 2009 :: [pdf]
5. On spatial variations of nematic ordering
   with Valeriy Slastikov :: Physica D 237:2577 2008 :: [pdf]
6. Critical points of the Onsager functional on a sphere
   with Valeriy Slastikov :: Nonlinearity 18:2565 2005 :: [pdf]
7. A note on the Onsager model of nematic phase transitions
   with Valeriy Slastikov :: CMS 3(1):21 2005 :: [pdf]
8. A computational strategy for multiscale systems with application to Lorenz 96 model
   with Eric Vanden-Eijnden :: JCP 200:605 2004 :: [pdf]
9. Statistical description of contact-interacting Brownian walkers on the line
   with Eric Vanden-Eijnden :: JSP 112:155 2003 :: [pdf]
10. Anomalous relaxation and self organization in nonequilibrium processes
    with Konstantin Kladko, Igor Mitkov and Alan Bishop :: PRE 63.067102 2001 :: [pdf]
11. Adaptive high order finite difference method for nonlinear wave problems
    with Jan Hesthaven :: JSCICOMP 16(1):47 2001 :: [pdf]

preprints and other texts

• Predicate signaling in distributed sensor networks
  with Agostino Capponi and Mani Chandy :: 2006 :: [pdf]
• Coarsening by diffusion-annihilation in a bistable system driven by noise
  with Eric Vanden-Eijnden :: 2002 :: [pdf]
• Coarsening in stochastically perturbed Ginzburg-Landau-type equations and statistical studies of Potts model :: PhD thesis :: 2002 :: [pdf]
• Goursat problem for Maxwell-Bloch equations :: Diploma thesis :: 2000 :: [pdf]