Professor Stan Miklavcic

• Single and Multi-variable Analysis
• Transform Methods
• Partial Differential Equations
• Mathematical Methods in Physics
• Mathematical Modeling
• Theory of Stability

Member, Australian Mathematical Society

Member (Lifetime), Swedish Mathematical Society

Cert. Survey., Sydney Technical College (1979)

B.Sc. (Hons.) in Applied Mathematics and Theoretical Mechanics, University of NSW (1985). First class Honours and award of University Medal

Ph.D. in Applied Mathematics and Statistical Mechanics, Australian National University (1989)

• Mathematical Modelling;
• Paper Optics;
• Theoretical Acoustics;
• Theoretical Colloid and Surface Science (surface forces, electrokinetics, double layer theory, physics of macromolecules);
• Continuum Mechanics (fluid dynamics and stability);
• Partial Differential Equations;
• Inequalities & their applications (esp. to dynamic and static stability problems);
• Mathematical Methods in Physics and Chemistry
• Theory of Stability (dynamic and static)

(i) Refereed Journal Publications (2001-)

S.J. Miklavcic and P. Attard (2001) "The equilibrium shape of an axisymmetric sessile drop subject to local stresses", J. Phys A: Mathematical and General, 34, pp 7849-7866.

P.J. Attard and S.J. Miklavcic (2001) "Effective spring constant of bubbles and droplets", Langmuir, 17, pp8217-8223.

P.J. Attard and S.J. Miklavcic (2002) "Effective spring description of a bubble or a droplet interacting with a particle", J. Coll. Interface Sci. 247, pp255-257.

S.J. Miklavcic and P. Attard (2002) "Sufficient conditions for the stability and instability of a fluid boundary subjected to local stress", J. Phys A: Mathematical and General 35 4335-4347.

S.J. Miklavcic (2003) "On the stability of the planar air-water interface under a van der Waals surface force" J. Phys A: Mathematical and General 36 8829-8850.

P.J. Attard and S.J. Miklavcic (2003) "Effective spring constant of bubbles and droplets", Langmuir, 19, p2532. (Additions and Corrections).

F.P.A. Cortat and S.J. Miklavcic (2003) "How closely can a solid approach an air-water surface without becoming wet?", Physical Review E. 68 Art. No. 052601-1:4.

F.P.A. Cortat and S.J. Miklavcic (2004) "Using stable and unstable profiles to deduce deformation limits of the air-water interface", Langmuir 20 pp3208-3220.

L. Yang, B. Kruse and S.J. Miklavcic (2004) "The revised Kubelka-Munk theory. II A unified framework for homogeneous and inhomogeneous optical media", J. Optical Soc. Am. A 21 1942-1952.

L. Yang and S.J. Miklavcic (2005) "A theory of light propagation incorporating scattering and absorption in turbid media", Optics Letters 30, 792-794

L. Yang and S.J. Miklavcic (2005) "Revised Kubelka-Munk theory III. A general theory of light propagation in scattering and absorptive media", J. Optical Soc. Am. A 22, pp1866-1873.

S. Ahualli., A. Delgado, S.J. Miklavcic and L.R. White (2006) "Dynamic electrophoretic mobility of concentrated dispersions of spherical particles. On the consistent use of the cell model", Langmuir, 22, pp7041-7051

S.J. Miklavcic and L.R. White (2006) "Stable van der Waals-induced deformations of the air-water interface. Theoretical predictions and a suggestion for an experiment", Langmuir, 22, pp6961-6968

S.J. Miklavcic and E. Said (2006) "The electrostatic potential and double layer stress in a pen-semiconductor heterojunction ", Phys. Rev. E, 74, Art. No. 061606-1:12.

L. Yang, S.J. Miklavcic and B. Kruse (2007) "Qualifying the arguments used in the derivation of the Revised Kubelka-Munk theory ", J. Optical Soc. Am. A, 24, pp557-560.

S. Ahualli, A. Delgado, S.J. Miklavcic and L.R. White (2007) "Use of a cell model for the evaluation of the dynamic mobility of spherical silica suspensions ", J. Coll. Interface Sci., 309, pp342-349.

B.H. Bradshaw-Hajek, S.J. Miklavcic, L.R. White (2008) "Frequency-dependent electrical conductivity of concentrated dispersions of spherical colloidal particles", Langmuir, 24(9), pp 4512-4522.

B.H. Bradshaw-Hajek, S.J. Miklavcic, L.R. White (2009) "Dynamic dielectric response of concentrated colloidal suspensions: comparison between theory and experiment", Langmuir, 25(4), pp 1961–1969.

A. Torokhti and S.J. Miklavcic (2009) "Interpoloation estimator for infinite sets of random vectors", Journal of Multivariate Analysis (accepted March 2009).

A. Torokhti and S.J. Miklavcic (2009) "Data compression and de-compression by causal filters with variable finite memory" , in Advanced Technologies, (in press, accepted February 2009).

(ii) Refereed Conference Proceedings (2001-)

S.J. Miklavcic (2003) "On the stability of free surfaces with imposed non-contact stress" EMAC Proc. 2003, ISBN: 1-86365-533-6, Eds. R.L. May and W.F. Blythe, 153-158.

S.J. Miklavcic and J. Ericsson (2004) "Practical implementation of the 3D tetrahedral TLM method and visualization of room acoustics" Proc. of the 7th Int. Conf. on Digital Audio Effects (DAFX-04) Naples, Italy, Oct 5-8 2004, ISBN: 88-901479-0-3, pp262-267.

S.J. Miklavcic, A. Zita and P. Arvidsson (2004) "Computational real-time sound synthesis of rain" Proc. of the 7th Int. Conf. on Digital Audio Effects (DAFX-04) Naples, Italy, Oct 5-8 2004, ISBN: 88-901479-0-3, pp169-172.

F.P.-A. Cortat and S.J. Miklavcic (2007) "Application of the variational calculus to wetting phenomena in chemical engineering" EMAC Proc. 2005, Eds. R.L. May and W.F. Blythe, pp C682-C702.

F.P.-A. Cortat and S.J. Miklavcic (2007) "Fluid shape determination by the Rayleigh-Ritz minimization method" EMAC Proc. 2005, Eds. R.L. May and W.F. Blythe, pp C776-C802.

A. Torokhti and S.J. Miklavcic (2008) "Compression and filtering of random signals under constraint of variable memory" Proc. of World Academy of Sci., Eng. & Tech., Vol. 30, July 2008, ISSN 1307-6884, pp. 768-773.

A. Torokhti and S.J. Miklavcic (2009) "Filtering and compression of signals under constraint of memory" Proc. of the 6th Int. Conf. on Informatics in Control, Automation and Robotics, Milan Italy, 2-5 July 2009.

Research Grants

Anomalous interfacial air bubble dynamics: the importance of electrokinetic effects in thin film drainage, 2009-2011
Australian Research Council Discovery Grant
RG Horn, SJ Miklavcic
$220,000

Evaluating modern printing inks: the behaviour of charged particles in concentrated non-aqueous colloidal suspensions, 2007-2010
Australian Research Council Linkage Grant
RG Horn, SJ Miklavcic, AB Ozerov
$170,000

Modeling of flow and interaction dynamics in multi-phase dispersions, 2007-2009
Swedish Research Council Grant
SJ Miklavcic
$201,000