Dr Lefteris Kyrkinis
This person does not currently hold a position at QUT.
Biography
EMPLOYMENT- Visiting Scholar Northwestern University, Evanston IL USA (2013-14)
- Postdoctoral Research Associate, Department of Physics, University of Washington, Seattle WA USA (2013-14)
- Alexander Golovin Assistant Professor of Applied Mathematics, Northwestern University, Evanston IL USA (2011-13)
EDUCATION
- Ph.D Applied Mathematics, University of Washington, Seattle, WA USA (Renormalization Group Methods)
- Part III (MSc) Applied Mathematics & Theoretical Physics, University of Cambridge, UK
- Pre-Ph.D research at the University of Washington: Supersymmetric methods in condensed matter physics (with Prof. A.V.Andreev); Hydrodynamics & Boltzmann equation (with Prof. B.Z.Spivak); Finite-volume methods for phase transitions in solids and liquids (with Prof.R.J.LeVeque); Magnetic fluid turbulence (with Prof. J.J.Riley). I attended both the Applied Math and Physics graduate sequences and courses from ME,EE and Aero/Astro.
RESEARCH INTERESTS & RELATED SYMPOSIA/SCHOOLS PARTICIPATED
Applied Mathematics & Theoretical Physics: Perturbation methods, Asymptotic & Stochastic Analysis, Scientific Computation, Hydrodynamics, Physics of Disordered Materials (Perturbative and Supersymmetric methods of Quantum Field Theory in Condensed Matter Physics)
SERVICE
- Reviewer/Referee for the Journal of Fluid Mechanics, Physical Review Letters, SIAM Review
- Methods of Mathematical Physics Course Coordinator
- Various University Committees
- Co-organizer: Renormalization Group mini-symposium in SIAM conference on applications of Dynamical Systems, Snowbird UT, USA
AWARDS/COMPETITIONS
- Boeing Award for Excellence in Teaching (2006 & 2008) University of Washington, Seattle
- 1st place of the Greek NSF (IKY) national examinations in applied mathematics (19.67/20.00)
- 1st place of the Academy of Athens national examinations in applied mathematics
SAMPLE COLLOQUIA
- Norwegian University of Science and Technology (NTNU) , Trondheim Norway (scroll down to Jan 30)
- Northwestern University, Evanston IL USA
- Michigan State University, East Lansing MI, USA
SELECTED PUBLICATIONS / IN THE NEWS
- "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
- ‘Hydrodynamic Theory of Liquid Slippage on a Solid Substrate Near a Moving Contact Line’ Physical Review Letters, 234503 110 (2013) E.Kirkinis & S.H. Davis
- Featured in the McCormick News, June 10, 2013: New Fluid-Dynamic Slip Law Subsumes 40 Years of Research. Findings could lead to improved manufacturing, medical processes
- ’The Renormalization Group and the Implicit Function Theorem for Amplitude Equations’ Journal of Mathematical Physics (7) 49 073518 (2008) E.Kirkinis
REFEREED JOURNAL PUBLICATIONS - FULL LIST
HYDRODYNAMICS, SOFT CONDENSED MATTER
- "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
- 'Moffatt vortices induced by the motion of a contact line' Journal of Fluid Mechanics, R3 746 (2014) E.Kirkinis & S.H. Davis
- 'Hydrodynamic Theory of Liquid Slippage on a Solid Substrate Near a Moving Contact Line' Physical Review Letters, 234503 110 (2013) E.Kirkinis & S.H. Davis
- 'Electromagnetic propulsion and separation by chirality of nanoparticles in liquids' Physical Review E, 016321 85 (2012) E.Kirkinis, A.V.Andreev & B.Spivak
PERTURBATION METHODS, ASYMPTOTIC ANALYSIS, MATHEMATICAL PHYSICS
- 'Variation of Parameters and the Renormalization Group' Studies in Applied Mathematics 215 134 (2015) R.E. O'Malley, Jr. & E.Kirkinis
- 'Amplitude Modulation for the Swift-Hohenberg and Kuramoto-Sivashinskii equations' Journal of Mathematical Physics 55, 123510 (2014) E. Kirkinis & R.E. O'Malley, Jr.
- 'Renormalization Group: A new perturbation method for the graduate curriculum' SIAM Review , 54 374-388, (2012) E. Kirkinis
- 'Two-timing and matched asymptotic expansions for singular perturbation problems' European Journal of Applied Mathematics (4) 22 613, (2011) R.E. O'Malley Jr.& E.Kirkinis
- 'A Combined Renormalization Group-Multiple Scale Method for Singularly Perturbed Problems' Studies in Applied Mathematics, (4) 124 383-410, (2010) R.E. O'Malley Jr.& E.Kirkinis
- ' Amplitude equations and asymptotic expansions for multi-scale problems' Asymptotic Analysis, (1)-(2) 67 1-16, (2010) E.Kirkinis
- 'Examples Illustrating the Use of Renormalization Techniques for Singularly Perturbed Differential Equations ' Studies in Applied Mathematics, (2) 122 105-122, (2009) R.E. O'Malley Jr.& E.Kirkinis
- ' Secular series and renormalization group for amplitude equations' Physical Review E, (3) 032104 78 (2008) E.Kirkinis
- 'Renormalization Group Interpretation of the Born and Rytov Approximations' Journal of the Optical Society of America A (10) 2499-2508 25 (2008) E.Kirkinis
- 'The Renormalization Group and the Implicit Function Theorem for Amplitude Equations' Journal of Mathematical Physics (7) 49 073518 (2008) E.Kirkinis
- 'Reduction of Amplitude Equations by the Renormalization Group Approach' Physical Review E, (1) 011105 77 (2008) E.Kirkinis
BIFURCATION, STABILITY AND CONSTITUTIVE MODELLING OF SOFT SOLIDS
- 'Generalized Azimuthal Shear Deformations in Compressible Isotropic Elastic Materials' SIAM Journal of Applied Mathematics, 65(2005) no. 3, 1080-1099, E.Kirkinis & H.-Yu. Tsai
- '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
- 'Some Solutions for a Compressible Isotropic Elastic Material' Zeitschrift für angewandte Mathematik und Physik (ZAMP), 55, (2004), no. 1, 136--158 E.Kirkinis, R.W. Ogden & D.M. Haughton
- 'A comparison of Stability and Bifurcation Criteria for Inflated Spherical Elastic Shells' Math. Mech. Solids, 8, 561-572, 2003, E.Kirkinis & D.M. Haughton
- 'On Helical Shear of a Compressible Elastic Circular Cylindrical Tube' Q. Jl Mech. Appl. Math., 56(1),105-122, 2003, E.Kirkinis & R.W. Ogden
- 'On Extension and Torsion of a Compressible Elastic Circular Cylinder', Math. Mech. Solids, 7, 372-392, 2002 E.Kirkinis & R.W. Ogden
BOOK REVIEWS
‘Mathematical Physics: A modern introduction to its foundations. By Sadri Hassani. Springer International Publishing, Switzerland, 2013, 2nd ed.’ SIAM Review, 56 (3) 565, 2014 E.Kirkinis Excerpts in amazon reviews
REFEREED & PUBLISHED CONFERENCE PROCEEDINGS
‘A note on Isochoric Problems in Nonlinear Elasticity’, Proceedings of the 2nd Canadian Conference on NL Solid Mechanics, Vancouver, BC,Vol II 353, (2002) E.Kirkinis & R.W. Ogden
SUBMITTED/WORK IN PROGRESS
- "Magnetic torque-induced stabilization of thin liquid-films" E.Kirkinis
- "Phase transitions in thin liquid-films" E.Kirkinis & S.H.Davis
- "Thin liquid-film-induced deformation of soft substrates" E.Kirkinis & S.H.Davis
- Persistent Currents in normal metal rings with Rashba-Buchkov spin-orbit interaction’ E.Kirkinis, A.V.Andreev & L.I.Glazman
- ‘Electric field distribution in random dielectric media’ E.Kirkinis & A.V.Andreev
- 'Amplitude modulation for the evolution equations of Mathematical Physics’ E.Kirkinis & R.E.O’Malley, Jr.
- "Asymptotic validity of the Renormalization Group Equations" E.Kirkinis
- ‘The effect of environmentally-induced currents on the passivising reactive interface of a nuclear glass’ E.Kirkinis & M.J.Miksis
COLLABORATORS
- Professor Anton Andreev, University of Washington, Department of Physics
- Professor Boris Spivak, University of Washington, Department of Physics
- Professor Robert E. O'Malley, Jr. University of Washington, Department of Applied Mathematics
- Professor Stephen H. Davis, Northwestern University, Engineering Sciences & Applied Mathematics
- Professor Michael J. Miksis, Northwestern University, Engineering Sciences & Applied Mathematics
- Professor Thomas J. Pence, Michigan State University, Mechanical Engineering
Personal details
Discipline
Applied Mathematics, Numerical and Computational Mathematics
Field of Research code, Australian and New Zealand Standard Research Classification (ANZSRC), 2008
Qualifications
- PhD, Applied Mathematics
Teaching
Eleftherios Kirkinis Teaching
QUEENSLAND UNIVERSITY OF TECHNOLOGY
- Professor V.I. Arnold (Влади́мир И́горевич Арно́льд) on Teaching mathematics
- Professor Carl Bender teaches Mathematical Physics
- Professor Anton Andreev teaches field-theoretic methods for disordered metals (supersymmetric methods)
- Professor Steve Davis on the fluid dynamics of contact lines
- Professor Charles Kane on topological band theory of insulators and superconductors
- Professor Thomas Pence on the large strain swelling response of biological tissues
QUEENSLAND UNIVERSITY OF TECHNOLOGY
Sem 2, 2015: PVB 202: Mathematical Physics / MXB 106: Linear Algebra & Differential Equations Enrolment as of June 20: 285 students. Linear systems, matrix representation of a linear operator, change of basis, eigenvalues, eigenvectors, diagonalization, applications to quadratic forms and mechanics; First order linear & nonlinear equations. Second order with constant coefficients, Laplace transform techniques, linear systems and stability. Incorporates peer-review and presentations.- Sem 1, 2015: PVB 200: Computational & Mathematical Physics Advanced calculus of a single variable (differentials, linearization, series), Fourier series and Fourier transforms, differential calculus of several variables, multiple integration (2D) and complex variables. Vectors and analytic geometry.
- Sem 2, 2014: MXB 106: Linear Algebra & Differential Equations Linear systems, matrix representation of a linear operator, change of basis, eigenvalues, eigenvectors, diagonalization, applications to quadratic forms and mechanics; First order linear & nonlinear equations. Second order with constant coefficients, Laplace transform techniques, linear systems and stability. End-of semester mini-symposium on special functions of Mathematical Physics.
- Sem 2, 2014: PVB 204: Electromagnetism I Triple integration and curvilinear coordinates, line, and surface integrals, potential functions, vector differential operators, integral theorems of vector calculus, applications from basic electromagnetism
NORTHWESTERN UNIVERSITY - Winter 2013: MATH 234-0: Multiple Integration and Vector Calculus (3 sections)
- Winter 2012: MATH 234-0: Multiple Integration and Vector Calculus (2 sections). Cylindrical and spherical coordinate systems, double and triple integrals, line and surface integrals, change of variables in multiple integrals; gradient, divergence, and curl, theorems of Green, Gauss, and Stokes.
UNIVERSITY OF WASHINGTON - Winter 2009: AMATH 353: Fourier Analysis and Partial Differential Equations Classification, major PDE's of Mathematical and Theoretical Physics. The 1-D heat equation: (used as example to develop: Fourier series and transforms, and Sturm-Liouville eigenvalue problems) separation of variables, eigenfunction expansions. The 1-D wave equation: General and D'Alembert solution, separation of variables geometrical interpretation using characteristics. Elliptic equations. Second order equations in curvilinear coordinates. First order linear and nonlinear pdes: The method of characteristics. shock waves and rarefaction waves.
- Spring 2008: AMATH 353: Fourier Analysis and Partial Differential Equations
- Winter 2008: AMATH 353: Fourier Analysis and Partial Differential Equations
- Autumn 2007: AMATH 353: Fourier Analysis and Partial Differential Equations Heat equation, wave equation, and Laplace's equation. Separation of variables. Fourier series in context of solving heat equation. Fourier sine and cosine series; complete Fourier series. Fourier and Laplace transforms. Solution of partial differential equations on infinite domains. D'Alembert's solution for wave equation.
- Summer 2007: AMATH 352: Applied Linear Algebra & Numerical Analysis,
- Autumn 2006: AMATH 383: Introduction to Continuous Mathematical Modelling1. Review of analytical solution techniques for ordinary differential equations 2. Continuous models, carbon datin 3. Modeling in physical sciences, Kepler, Newton 4. Harvesting models and bifurcation theory 5. Snowball Earth and climate modelling 6. Models of species interaction, predator and prey 7. The diffusion equation and the age of the earth 8. Ice ages. 9. Stochastic Modelling
- Autumn 2005: AMATH 351: Introduction to Ordinary Differential Equations
- Summer 2005: AMATH 352: Applied Linear Algebra & Numerical Analysis, Contents: Development and application of numerical methods and algorithms to problems in the applied sciences and engineering. Applied linear algebra and introduction to numerical methods. Emphasis on use of conceptual methods in engineering, mathematics, and science.
- Spring 2005: AMATH 351: Introduction to Ordinary Differential Equations,
- Summer 2004: AMATH 351: Introduction to Ordinary Differential Equations, Contents: First and higher order equations, series solutions, Laplace transforms, systems of equations, the exponential matrix
Invited lectures - Autumn 2011: ES_APPM 420-1: Asymptotic and Perturbation Methods in Applied Mathematics
- Winter 2009: AMATH 568: Graduate NL ODEs - Asymptotics and Perturbation methods
Publications
QUT ePrints
To find publications by Lefteris, visit QUT ePrints, the University's research repository.