Projects per year

## 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.

## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

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## Projects 2010 2017

- 7 Finished

### International Research Accelerator Scheme

Milewski, P., Dawes, J. & Evans, J.

1/09/16 → 30/08/17

Project: Research-related funding

### GCRF - Water Treatment for Rural Communities using 3-D Printing, Mathematical Modelling

Patterson, E., Murphy, E., Evans, J., Shepherd, P. & Charles, A.

18/07/16 → 17/03/17

Project: Research council

### GCRF - Water Treatment Units for Rural Communities using 3-D Printing, Mathematical Modelling

18/07/16 → 17/03/17

Project: Research council

### FAPESP Bath Scheme - Asymptotics and Simulation of Complex Fluids

1/08/15 → 1/08/17

Project: Research-related funding

## Research Output 2002 2019

### 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 journal › Article

### 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 journal › Article

### 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 journal › Article

### Stress-dependent local oxidation of silicon

Evans, J. & King, J., 16 Nov 2017, In : SIAM Journal on Applied Mathematics. 77, 6, p. 2012–2039Research output: Contribution to journal › Article

### Stresses of PTT, Giesekus, and Oldroyd-B fluids in a Newtonian velocity field near the stick-slip singularity

Evans, J. D., Palhares Junior, I. L. & Oishi, C. M., 1 Dec 2017, In : Physics of Fluids. 29, 12, 121604.Research output: Contribution to journal › Article

## Thesis

## Instabilities in Sixth Order Cahn-Hilliard Type Equations

Author: Boyle, B., 27 Jun 2017Supervisor: Evans, J. (Supervisor) & Galaktionov, V. (Supervisor)

Student thesis: Doctoral Thesis › PhD

## Re-entrant corner flows of Oldroyd-B fluids

Author: O'Byrne, A., 1 Dec 2010Supervisor: Evans, J. (Supervisor)

Student thesis: Doctoral Thesis › PhD

## Sharp Interface Models From Homogeneous Reaction Systems

Author: Fernandez Fonseca, A., 11 Dec 2013Supervisor: Evans, J. (Supervisor)

Student thesis: Doctoral Thesis › PhD

## Viscoelastic Flows of PTT Fluid

Author: Sibley, D., 1 Mar 2010Supervisor: Evans, J. (Supervisor)

Student thesis: Doctoral Thesis › PhD