Ibrahim Fatkullin :: Homepage

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

publications

1. On spatial variations of nematic ordering
   with Valeriy Slastikov :: Physica D 237:2577 2008 :: [pdf]
2. Critical points of the Onsager functional on a sphere
   with Valeriy Slastikov :: Nonlinearity 18:2565 2005 :: [pdf]
3. A note on the Onsager model of nematic phase transitions
   with Valeriy Slastikov :: CMS 3(1):21 2005 :: [pdf]
4. A computational strategy for multiscale systems with application to Lorenz 96 model
   with Eric Vanden-Eijnden :: JCP 200:605 2004 :: [pdf]
5. Statistical description of contact-interacting Brownian walkers on the line
   with Eric Vanden-Eijnden :: JSP 112:155 2003 :: [pdf]
6. Anomalous relaxation and self organization in nonequilibrium processes
   with Konstantin Kladko, Igor Mitkov and Alan Bishop :: PRE 63.067102 2001 :: [pdf]
7. Adaptive high order finite difference method for nonlinear wave problems
   with Jan Hesthaven :: JSCICOMP 16(1):47 2001 :: [pdf]

preprints and other texts

• Vortices in two-dimensional nematics
  with Valeriy Slastikov :: [pdf]
• Reduced dynamics of stochastically perturbed gradient flows
  with Gregor Kovacic and Eric Vanden-Eijnden :: [pdf]
• Predicate signaling in distributed sensor networks
  with Agostino Capponi and Mani Chandy :: [pdf]
• Coarsening by diffusion-annihilation in a bistable system driven by noise
  with Eric Vanden-Eijnden :: [pdf]
• Coarsening in stochastically perturbed Ginzburg-Landau-type equations and statistical studies of Potts model :: PhD thesis :: [pdf]
• Goursat problem for Maxwell-Bloch equations :: Diploma thesis :: [pdf]

teaching

• Matrix analysis (MATH410) :: [inf]