Publications

 

 

  1. Focusing of Active Particles in a Converging Flow (with A. Kaiser, L. Berlyand, and I.Aranson), New Journal of Physics, (2017)

  2. Sharp Interface Limit in a Phase Field Model of Cell Motility (with V. Rybalko, L. Berlyand), Network and Heterogeneous Media, Vol. 12, Number 4, pp. 551-590 (2017)

  3. Flagella bending affects macroscopic properties of bacterial suspensions (with M. Tournus, L. Berlyand, I. Aranson), Journal of the Royal Society Interface, Vol. 14, Issue 130, 20161031 (2017)

  4. "Phase-Field Model of Cell Motility: Traveling Waves and Sharp Interface Limit" (with V. Rybalko, L. Berlyand), Comptes Rendus Mathematique, Vol. 354, Issue 10, pp. 986-992 (2016)

  5. "Complexity Reduction in Many Particle Systems with Random Initial Data" (with L. Berlyand, P.-E. Jabin), SIAM/ASA J. Uncertainty Quantification, Vol. 4, Issue 1, pp. 446-474 (2016)

  6. "Effective Rheological Properties in Semidilute Bacterial Suspensions" (with S.D. Ryan, L. Berlyand), Bulletin of Mathematical Biology, Vol. 78, Issue 3, pp. 580-615 (2016)

  7. "Collision of microswimmers in viscous fluid" (with V. Gyrya, I. Aranson, L. Berlyand), Physical Review E , Vol. 87, No. 5, p. 053005 (2013)

  8. "A nonlinear transmission problem for a compound plate with thermoelastic part", Mathematical Methods in Applied Sciences, Vol. 35, Issue 5, pp. 530-546 (2012)

  9. "On Transmission Problem for Berger Plates on an Elastic Base", Journal of Mathematical Physics, Analysis, Geometry, Vol. 7, No. 1, pp. 96-102 (2011)

  10. "On Singular Limit and Upper Semicontinuous Family of Attractors of Thermoviscoelastic Berger Plate", Journal of Mathematical Physics, Analysis, Geometry, Vol. 6, No. 3, pp. 1-32 (2010)

  11. "Asymptotic behavior of thermoviscoelastic Berger plate", Communications on Pure and Applied Analysis, Vol. 9, No. 1, pp. 161-192 (2010)

  12. "Global attractors for the thermoelastic extensible beam system", (with C. Giorgi, M.G. Naso, V. Pata), Journal of Differential Equations, 246, pp. 3496 - 3517 (2009)

  13. "Asymptotic behavior of solutions of a non-linear thermoelastic plate problem", Dopovidi NASU 2, pp. 26-31 (2009; in Russian)

 

 

Preprints available on arxiv.org

 

 

  1. Phase Field Model of Cell Motility: Sharp Interface Limit in Sub-Critical Case (with V. Rybalko, L. Berlyand)

  2. Boundary Conditions in PDE Model of Collisions of swimmers (with V. Gyrya, L. Berlyand)