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Personal profile

Research interests

Current research interests are in Asymptotic Analysis and Perturbation Methods, with focus on Industrial and Applied Mathematical Modelling. Main areas include:

(1) Complex fluids with memory - these are fluids that behave as both liquids and solids. Applications in polymer, food, petroleum and minerals industries, inkjet printing, nanotechnology, smart materials and intelligent gels.

(2) High order nonlinear evolutionary PDEs - Fourth, sixth and tenth order Cahn-Hilliard and thin film type equations (semi-linear and degenerate quasi-linear PDEs).

(3) Free boundary problems

(a) Engineering applications: heat and mass transfer, semiconductor fabrication (silicon oxidation and device isolation techniques), concrete carbonation.

(b) Finance: Pricing of American style options/derivatives. Fractal identification in pricing data.

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Projects 2010 2017

Research Output 2002 2019

1 Citation (Scopus)

Application of the natural stress formulation for solving unsteady viscoelastic contraction flows

Evans, J. D., França, H. L. & Oishi, C. M., 1 Jul 2019, In : Journal of Computational Physics. 388, p. 462-489 28 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Numerical solution of the Giesekus model for incompressible free surface flows without solvent viscosity

Tome, M. F., Araujo, M. T., Evans, J. & McKee, S., 1 Jan 2019, In : Journal of Non-Newtonian Fluid Mechanics. 263, p. 104-119 16 p.

Research output: Contribution to journalArticle

Open Access
File

Numerical study of the stress singularity in stick-slip flow of the Phan-Thien Tanner and Giesekus fluids

Evans, J. D., Cuminato, J. A., Palhares Junior, I. L. & Oishi, C. M., 9 Sep 2019, In : Physics of Fluids. 31, 9, 093101.

Research output: Contribution to journalArticle

Gradient blow-up for a fourth-order quasilinear boussinesq-type equation

Álvarez-Caudevilla, P., Evans, J. D. & Galaktionov, V. A., 1 Aug 2018, In : Discrete and Continuous Dynamical Systems- Series A. 38, 8, p. 3913-3938 26 p.

Research output: Contribution to journalArticle

Wave equations
Blow-up
Fourth Order
Numerical methods
Gradient
43 Downloads (Pure)

Stress-dependent local oxidation of silicon

Evans, J. & King, J., 16 Nov 2017, In : SIAM Journal on Applied Mathematics. 77, 6, p. 2012–2039

Research output: Contribution to journalArticle

Open Access
File
Oxidation
Silicon
Silicon oxides
Birds
Dependent

Thesis

Instabilities in Sixth Order Cahn-Hilliard Type Equations

Author: Boyle, B., 27 Jun 2017

Supervisor: Evans, J. (Supervisor) & Galaktionov, V. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Re-entrant corner flows of Oldroyd-B fluids

Author: O'Byrne, A., 1 Dec 2010

Supervisor: Evans, J. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Sharp Interface Models From Homogeneous Reaction Systems

Author: Fernandez Fonseca, A., 11 Dec 2013

Supervisor: Evans, J. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Viscoelastic Flows of PTT Fluid

Author: Sibley, D., 1 Mar 2010

Supervisor: Evans, J. (Supervisor)

Student thesis: Doctoral ThesisPhD

File