Ibrahim Fatkullin :: Homepage
  
  
  
Associate Professor of Mathematics at UA
MATH602 :: ibrahim at math arizona edu
  
  
      department of mathematics
      the university of arizona
      617 n santa rita ave
      po box 210089
      tucson az 85721-0089 USA
  
  
  
  
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  select publications and preprints
  
		- Limit shapes for Gibbs partitions of sets
      with Jianfei Xue :: JSP 183:22 2021 ::
      [pdf] 
	  - On hydrodynamic limits of Young diagrams
      with Sunder Sethuraman and Jianfei Xue :: EJP 25:58 2020 ::
      [pdf] 	  
	  - Limit shapes for Gibbs ensembles of partitions
      with Valeriy Slastikov :: JSP 172(6):1545 2018 ::
      [pdf] 
	  - Coalescing particle systems and applications to nonlinear Fokker-Planck equations
      with Gleb Zhelezov :: CMS 16(2) 2018 ::
      [pdf] 
	  - Category competition as a driver of category contrast
      with Andrew Wedel :: JLE 2(1):77 2017 ::
      [pdf] 
      - Diffusive transport in two-dimensional nematics
      with Valeriy Slastikov :: DCDS-S 8(2):323 2015 ::
      [pdf] 
      - A study of blow-ups in the Keller-Segel model of chemotaxis
 Nonlinearity 26(1):81 2013 ::
      [pdf] 
      - Stochastic filtering for diffusion processes with level crossings
      with Agostino Capponi
      and Ling Shi :: IEEE TAC 56(9):2201 2011 ::
      [pdf] 
      - Reduced dynamics of stochastically perturbed gradient flows
      with  Gregor Kovacic and  Eric Vanden-Eijnden ::
      CMS 8(2):439 2010 :: [pdf] 
      - Vortices in two-dimensional nematics
      with Valeriy Slastikov :: CMS 7(4):917 2009 :: [pdf] 
      - On spatial variations of nematic ordering
      with Valeriy Slastikov :: Physica D 237:2577 2008 ::
      [pdf] 
      - Critical points of the Onsager functional on a sphere
      with Valeriy Slastikov :: Nonlinearity 18:2565 2005 ::
      [pdf] 
      - A note on the Onsager model of nematic phase transitions
      with Valeriy Slastikov :: CMS 3(1):21 2005 ::
      [pdf] 
      - A computational strategy for multiscale systems with application to Lorenz 96 model
      with Eric Vanden-Eijnden :: JCP 200:605 2004 ::
      [pdf] 
      - Statistical description of contact-interacting Brownian walkers on the line
      with Eric Vanden-Eijnden :: JSP 112:155 2003 ::
      [pdf] 
	  - Coarsening in stochastically perturbed Ginzburg-Landau-type equations and statistical studies of Potts model :: PhD thesis :: 2002 ::
      [pdf]
 
	  - Coarsening by diffusion-annihilation in a bistable system driven by noise
      with  Eric Vanden-Eijnden :: manuscript 2002 ::
      [pdf] 
      - Anomalous relaxation and self organization in nonequilibrium processes
      with Konstantin Kladko, Igor Mitkov and Alan Bishop :: PRE 63.067102 2001 ::
      [pdf] 
      - Adaptive high order finite difference method for nonlinear wave problems
      with Jan Hesthaven :: JSC 16(1):47 2001 ::
      [pdf] 
	  - Goursat problem for Maxwell-Bloch equations :: Diploma thesis :: 2000 ::
      [pdf]
 
  
	  
  teaching :: fall 2022
  
  - Introduction to Differential Equations (MATH254)
 
  
  
	sent to 216.73.216.119 :: updated August 31 2022