Publications

Complex & Biological Fluids; Microscale and Interfacial Fluid Dynamics; Active Matter

2023
32. 'Hydrodynamics of thermally-driven chiral suspensions' Journal of Fluid Mechanics, 977: A8, (2023) E.Kirkinis, A.V.Andreev & M. Olvera de la Cruz

31. "Thermocapillary migrating odd viscous droplets" Physical Review Letters 131, 198201 (2023) A. Aggarwal, E. Kirkinis, & M. Olvera de la Cruz

30. 'Taylor columns and inertial-like waves in a three-dimensional odd viscous liquid' Journal of Fluid Mechanics, 973: A30, (2023) E.Kirkinis & M. Olvera de la Cruz

29. 'Taylor halos and Taylor spears in odd viscous liquids' Physics of Fluids 35, 101702 (2023) E.Kirkinis & M. Olvera de la Cruz     

28. 'Activity-induced propulsion and separation of passive chiral particles in liquids' Physical Review Fluids, 8, 023302 (2023), E.Kirkinis & M. Olvera de la Cruz

27. 'Null-divergence nature of the odd viscous stress for an incompressible liquid' Physical Review Fluids, 8, 014104 (2023), E.Kirkinis

26. 'Activity-induced migration of magnetic droplets' Journal of Fluid Mechanics, 955: A10 (2023), A. Aggarwal, E. Kirkinis & M. Olvera de la Cruz

Before 2023

25. 'Odd viscosity-induced passivation of Moffatt vortices' Journal of Fluid Mechanics, 950: A19, (2022) E. Kirkinis, J. Mason & M. Olvera de la Cruz

24. 'Healing of thermocapillary film rupture by viscous heating' Journal of Fluid Mechanics 872, 308-326 (2019) E.Kirkinis & A.V.Andreev

23. ‘Odd viscosity-induced stabilization of thin liquid films’ Journal of Fluid Mechanics 878, 169-189 (2019) E.Kirkinis & A.V.Andreev

22. ‘Magnetic torque-induced suppression of van der Waals-driven thin liquid film rupture’ Journal of Fluid Mechanics, 813, 991-1006 (2017) E.Kirkinis

21. ‘Stabilization mechanisms in the evolution of thin liquid-films’ Proceedings of the Royal Society of London A, 20150651, 471 (2015) E.Kirkinis & S.H.Davis

20. ‘Moffatt vortices induced by the motion of a contact line’ Journal of Fluid Mechanics 746, (2014) R3 E.Kirkinis & S.H. Davis 

19. ‘Hydrodynamic theory of liquid slippage on a solid substrate near a moving contact line’ Physical Review Letters, 110, 234503 (2013) E.Kirkinis & S.H.Davis.          

Highlighted by Northwestern Engineering News: New Fluid-Dynamic Slip Law Subsumes 40 Years of Research Findings could lead to improved manufacturing, medical processes Jun 10, 2013 Article by Sarah Ostman

18. ‘Electromagnetic propulsion and separation by chirality of nanoparticles in liquids’ Physical Review E, 016321 85 (2012) E.Kirkinis, A.V.Andreev & B.Spivak 

Nonlinear Dynamics, Asymptotics, Multiscale Methods, Boundary-layers, Pattern Formation

17. ‘Variation of Parameters and the Renormalization Group Method’ Studies in Applied Mathematics 234, 215 (2015) R.E.O’Malley, Jr. & E.Kirkinis

16. ‘Amplitude modulation for the Swift-Hohenberg and Kuramoto-Sivashinskii equations’ Journal of Mathematical Physics 55, 123510 (2014) E.Kirkinis & R.E.O’Malley, Jr.

15. ‘The Renormalization Group: A new perturbation method for the Graduate Curriculum’ SIAM Review, 54 374, (2012) E.Kirkinis

14. ‘Two-timing and matched asymptotic expansions for singular perturbation problems’ European Journal of Applied Mathematics, 22 613, (2011) R.O’Malley & E.Kirkinis

13. ‘A Combined Renormalization Group-Multiple Scale Method for Singularly Perturbed Problems’ Studies in Applied Mathematics, (4) 124 383, (2010) R.E.O’Malley, Jr. & E.Kirkinis

12. ‘Amplitude equations and asymptotic expansions for multi-scale problems’ Asymptotic Analysis, 67 1, (2010) E.Kirkinis

11. ‘Examples Illustrating the Use of Renormalization Techniques for Singularly Perturbed Differential Equations ’ Studies in Applied Mathematics, 122 105, (2009) R.E. O’Malley, Jr. & E.Kirkinis

10. ‘Secular series and Renormalization Group for Amplitude equations’, Phys. Rev. E (3) 78, 032104 (2008) E.Kirkinis

9. ‘Renormalization Group Interpretation of the Born and Rytov Approximations’, J.Opt.Soc.Am. A (10) 25, 2499-2508 (2008) E.Kirkinis

8. ‘The Renormalization Group and the Implicit Function Theorem for Amplitude Equations’, J. Math. Phys (7) 49, 073518 (2008) E.Kirkinis

7. ‘Reduction of Amplitude Equations by the Renormalization Group Approach’, Phys. Rev. E (6) 76, (2008) E.Kirkinis

Soft Matter;  Bifurcation & Stability; Large Elastic Deformations; 

6. ‘Generalized Azimuthal Shear Deformations in Compressible Isotropic Elastic Materials’, SIAM Jl Appl.Math, 65 (2005) no. 3, 1080-1099, E.Kirkinis & H. Tsai

5. ‘Swelling Induced Finite Strain Flexure in a Rectangular Block of an Isotropic Elastic Material’ Journal of Elasticity,75 (2004) 69-89 H. Tsai, T.J. Pence & E.Kirkinis

4. ‘Some Solutions for a Compressible Isotropic Elastic Material’ Zeitschrift fur angewandte Mathematik und Physik (ZAMP),55, (2004), 136 E. Kirkinis, D.Haughton & R.W.Ogden

3. ‘A comparison of stability and bifurcation criteria for inflated spherical elastic shells’ Math. Mech.Solids, 8:, 561-572, 2003, D.M. Haughton & E.Kirkinis

2. ‘On Helical Shear of Compressible Elastic Circular Cylindrical Tube’, Q. Jl Mech.Appl.Math, 56: 105-122, (2003), E.Kirkinis & R.W. Ogden

1. ‘On Extension and Torsion of a Compressible Circular Cylinder’, Math. Mech. Solids, 7: 373-392, (2002), E.Kirkinis & R.W. Ogden

Refereed & Published Conference Proceedings

1. ‘A note on Isochoric Problems in Nonlinear Elasticity’, Proceedings of the 2nd Canadian Conference on Nonlinear Solid Mechanics, Vancouver, BC,Vol II 353, (2002) E.Kirkinis & R.W. Ogden

Invited Book Reviews

1. ‘Review of ’Mathematical Physics: A modern introduction to its foundations. By Sadri Hassani. Springer, Switzerland, 2013, 2nd ed.’ SIAM Review, 56 (3) 565, (2014) E.Kirkinis