Books. 

 

1. Topological approximation methods for evolutionary problems  of nonlinear hydrodynamics. de Gruyter Series in Nonlinear Analysis and Applications, 12. Walter de Gruyter & Co., Berlin, 2008.  (with V.G. Zvyagin).

 

Chapters in books. 

 

1. Anomalous diffusion in polymers: long-time behaviour, In: Fields Institute Communications, Vol. 64, Infinite Dimensional Dynamical Systems, J. Mallet-Paret, J. Wu, Y. Yi and H. Zhu (Eds.), Springer, 2013, pp. 481-496 (preprint available at arXiv).

 

Papers. 

1. On the trajectory and global attractors for the equations ofmotion of a viscoelastic medium, Russian Mathematical Surveys, Volume 61(2006), Number 2,

368-370. (with V.G. Zvyagin).

 

2. Uniform attractors for non-autonomous motion equations of viscoelastic medium, J. Math. Anal. Appl., 2007, Volume 325, Issue 1, 438-458 (with V.G. Zvyagin).

 

3. Weak solutions and attractors for motion equations for an

objective model of viscoelastic medium, PAMM - Proc. Appl. Math. Mech. 7, 

1060105-1060106 (2007), with V.G. Zvyagin.

 

4. Approximating - topological methods in some problems of

hydrodynamics, J. Fixed Point Theory Appl., 2008, Volume 3, Number

1, 23-49 (with V.G. Zvyagin).

 

5. Trajectory and global attractors of the boundary value problem for 

autonomous motion equations of viscoelastic medium, J. Math. Fluid Mech., V. 10 (2008),  19-44 (with V.G. Zvyagin).

 

6. Asymptotic behaviour of the non-autonomous 3D Navier-Stokes problem with coercive force. J. Differential Equations, 2011, V. 251, 2209–2225 (preprints available at arXiv and here). 

 

7. Trajectory attractors vs. multivalued processes, in preparation.

 

8. Weak solutions for a bioconvection model related to Bacillus subtilis, Commun. Math. Sci. 12 (2014) 545–563 (preprints available at arXiv and here).