Novel mathematical models in biofluid dynamics

Speaker(s)

Prof. dr. hab. Natalya Kizilova (ICM)

Date

Feb. 25, 2016, 12:30 p.m.

Room

room 4060

Seminar

Seminar of Mathematical Physics Equations Group

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Biological fluids possess complex rheological properties, and experimental studied of their behavior revealed inconsistency with mathematical models of classical viscous and viscoelastic fluids. In the talk a brief review of novel discrete and continuous models and problem formulations will be given. Among them are

1) Multidimensional 3d+2d+1d+0d fluid dynamics models in rigid and compliant boundaries;

2) Flows of nanofluids in the micro and nanochannels described by the Navier-Stokes equations with first/second order slip velocity and temperature jump boundary conditions;

3) Continual models of collective dynamics (traffic flows, crowd behavior, schools of fish, flocks of birds, etc.) with slip boundary conditions and ‘social forces’.

The well-posedness of the formulated problems will be discussed, and the corresponding examples of fluids and flows will be given.

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