# Dr Matthew Moore

## Dr Matthew Moore

- Darby Fellow in Applied Mathematics

## Profile

I studied Mathematics as an undergraduate at Christ Church, Oxford (BA, 2009), before undertaking a Masters in Mathematical Modelling and Scientific Computing at the same college (MSc, 2010). After that, I took the short trip across the High Street to Jesus College, where I spent four years earning a DPhil. in Mathematics (2015), specialising in developing mathematical models for splashing dynamics (think inkjet printing or a wave crashing into a sea wall). I took up a postdoctoral research assistant position at Imperial College London in 2014, where I looked at models for ice formation on aircraft components in high speed flight conditions. In 2017, I moved back to Oxford, joining Lincoln as the new Darby Fellow in Applied Mathematics.

## College teaching

At Lincoln, I am one of the two applied Mathematics tutors. I teach the first-year calculus courses in Hilary Term, Fourier Series and PDEs and Multivariable Calculus, while in the second-year I teach Differential Equations I, while also covering the options Differential Equations II, Integral Transforms, and Calculus of Variations. In addition, I am also the first-year Mathematics tutor for the Lincoln Physics students, covering the first-year courses on the CP3/4 papers- Linear Algebra, ODEs, Complex Numbers, Vector Calculus, and Waves.

- Research
My research interests lie in the mathematical modelling of real-world phenomena and industrial problems. I am particularly interested in fluid dynamics problems involving a

*free surface*- that is an interface between two fluids – for example a rain droplet impacting onto the surface of a river. I am also interested in flows in porous media, phase change (freezing/melting) and, recently, contact mechanics, where two elastic solid bodies come into contact (e.g. in turbine blades). In tackling these problems, I use an array of mathematical techniques, ranging from perturbation methods (essentially exploiting small parameters in the problem mathematically) to complex variable theory. I have a keen interest in any problem involving singular integral equations.- Select publications
Early-time jet formation in liquid-liquid impact problems. R. Cimpeanu & M. R. Moore.

*J. Fluid Mech*. (856) 2018, 764-796, doi: 10.1017/jfm.2018.704Half-plane partial slip contact problems with a constant normal load subject to a shear force and differential bulk tension. M. R. Moore, R. Ramesh, D. A. Hills & J. R. Barber.

*J. Mech. Phys. Solids*(118) 2018, 245-253, doi: 10.1016/j.jmps.2018.05.017On the deflection of a liquid jet by an air-cushioning layer. M. R. Moore, J. P. Whiteley & J. M. Oliver.

*J. Fluid Mech*. (846) 2018, 711-751, doi: 10.1017/jfm.2018.310Ice formation within a thin film flowing over a flat plate. M. R. Moore, M. S. Mughal & D. T. Papageorgiou.

*J. Fluid Mech*. (817) 2017, 455-489, doi: 10.1017/jfm.2017.100Three-dimensional oblique water-entry problems at small deadrise angles. M. R. Moore, S. D. Howison, J. R. Ockendon & J. M. Oliver.

*J. Fluid Mech*. (711) 2012, 259-280, doi: 10.1017/jfm.2012.391