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Research activities

I am interested in mathematical methods in fluid dynamics, biology and other areas of science, nonlinear PDEs, optimal transport, gradient flows, nonlinear analysis, attractors.

 

The major part of my publications is related to nonlinear analysis and/or PDEs. Here is the full list, and below are the links to the lists by particular areas.

 

! indicates the areas on which I have been working recently,  !! indicates the areas on which I am working right now.

 

Optimal transport, gradient flows !!

 

Inextensible string !!

 

Imaging !

 

Mathematical  analysis of viscoelastic fluids

 

Mathematical  analysis of anomalous diffusion in polymers

 

Brownian motors

 

Trajectory attractors

 

Dissipative solutions to PDEs

 

1-, p(x)- and infinity-Laplacian !

 

Bioconvection 

 

Singular directions in crystals

 

 

 

 

 

Other topics