Publications
Hydrodynamics of Chiral Suspensions
32. 'Hydrodynamics of thermally-driven chiral suspensions' Journal of Fluid Mechanics, 977: A8, (2023) E.Kirkinis, A.V.Andreev & 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
18. ‘Electromagnetic propulsion and separation by chirality of nanoparticles in liquids’ Physical Review E, 016321 85 (2012) E.Kirkinis, A.V.Andreev & B.Spivak
Unconventional fluid flow behavior in odd viscous liquids
Odd viscosity and thermocapillarity
31. "Thermocapillary migrating odd viscous droplets" Physical Review Letters 131, 198201 (2023) A. Aggarwal, E. Kirkinis, & M. Olvera de la Cruz
23. ‘Odd viscosity-induced stabilization of thin liquid films’ Journal of Fluid Mechanics 878, 169-189 (2019) E.Kirkinis & A.V.Andreev
Taylor columns and inertial-like waves in odd viscous liquids
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
Theory
27. 'Null-divergence nature of the odd viscous stress for an incompressible liquid' Physical Review Fluids, 8, 014104 (2023), E.Kirkinis
Moffatt vortices in odd viscous liquids
25. 'Odd viscosity-induced passivation of Moffatt vortices' Journal of Fluid Mechanics, 950: A19, (2022) E. Kirkinis, J. Mason & M. Olvera de la Cruz
Interfacial & microscale fluid dynamics
Droplet migration
26. 'Activity-induced migration of magnetic droplets' Journal of Fluid Mechanics, 955: A10 (2023), A. Aggarwal, E. Kirkinis & M. Olvera de la Cruz
Stabilization of thin-liquid films
24. 'Healing of thermocapillary film rupture by viscous heating' Journal of Fluid Mechanics 872, 308-326 (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
Motion near a Contact line
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
Asymptotics, Multiscale Methods, Boundary-layers
Pattern Formation
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.
Theory
17. ‘Variation of Parameters and the Renormalization Group Method’ Studies in Applied Mathematics 234, 215 (2015) R.E.O’Malley, Jr. & E.Kirkinis
Education
15. ‘The Renormalization Group: A new perturbation method for the Graduate Curriculum’ SIAM Review, 54 374, (2012) E.Kirkinis
Two-timing (multiple scales method)
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
Application in optics
9. ‘Renormalization Group Interpretation of the Born and Rytov Approximations’, J.Opt.Soc.Am. A (10) 25, 2499-2508 (2008) E.Kirkinis
Amplitude equations and Renormalization Group
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
Nonlinearly Elastic Solids
Swelling
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
Bifurcation and Stability
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
Large deformations in isotropic compressible materials
6. ‘Generalized Azimuthal Shear Deformations in Compressible Isotropic Elastic Materials’, SIAM Jl Appl.Math, 65 (2005) no. 3, 1080-1099, E.Kirkinis & H. Tsai
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
Exact solutions
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
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