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E.Kirkinis-Publications

Refereed Journal Publications

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  1. 'Examples Illustrating the Use of Renormalization Techniques for Singularly Perturbed Differential Equations ' Studies in Applied Mathematics, (2) 122 105-122, (2009) (with R.E. O'Malley Jr.)

  2. ' Secular series and renormalization group for amplitude equations' Physical Review E, (3) 032104 78 (2008)

  3. 'Renormalization Group Interpretation of the Born and Rytov Approximations' Journal of the Optical Society of America A (10) 2499-2508 25 (2008)

  4. 'The Renormalization Group and the Implicit Function Theorem for Amplitude Equations' Journal of Mathematical Physics (7) 49 073518 (2008)

  5. 'On the Reduction of Amplitude Equations by the Renormalization Group Approach' Physical Review E, (1) 011105 77 (2008)

  6. 'Generalized Azimuthal Shear Deformations in Compressible Isotropic Elastic Materials' SIAM Journal of Applied Mathematics, 65(2005) no. 3, 1080-1099, with H. Tsai

  7. 'Swelling Induced Finite Strain Flexure in a Rectangular Block of an Isotropic Elastic Material' Journal of Elasticity,75 (2004) 69-89. (with H. Tsai and T.J. Pence)

  8. 'Some Solutions for a Compressible Isotropic Elastic Material' Zeitschrift für angewandte Mathematik und Physik (ZAMP), 55, (2004), no. 1, 136--158.(with R.W. Ogden and D.M. Haughton)

  9. 'A comparison of Stability and Bifurcation Criteria for Inflated Spherical Elastic Shells' Math. Mech. Solids, 8, 561-572, 2003, (with D.M. Haughton)

  10. 'On Helical Shear of a Compressible Elastic Circular Cylindrical Tube' Q. Jl Mech. Appl. Math., 56 (1),105-122, 2003, (with R.W. Ogden)

  11. 'On Extension and Torsion of a Compressible Elastic Circular Cylinder', Math. Mech. Solids, 7, 372-392, 2002 (with R.W. Ogden)

Refereed Conference Proceedings

  1. 'A note on Isochoric Problems in Nonlinear Elasticity', Proceedings of the 2nd Canadian Conference on Nonlinear Solid Mechanics, CanCNSM 2002, Vancouver, June 2002, Vol II, pp.353-363 (with R.W. Ogden) [pdf]

Other

  1. 'Global Solutions for Non-linear Wave Equations', Essay, University of Cambridge , England, June 2000 [pdf]