Darby Fellow in Applied Mathematics, Lincoln College

+44 1865 215126 (office), +44 1865 279790 (College)

## Address

University of Oxford

Andrew Wiles Building

Radcliffe Observatory Quarter

Woodstock Road

Oxford

OX2 6GG

## Recent Publications:

Half-plane partial slip contact problems with a constant normal load subject to a shear force and differential bulk tension

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
volume 118
page 245-253
(September 2018)
Full text available

Solution of half-plane contact problems by distributing climb dislocations

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
volume 147
page 61-66
(15 August 2018)
Full text available

On the deflection of a liquid jet by an air-cushioning layer

JOURNAL OF FLUID MECHANICS
volume 846
page 711-751
(9 May 2018)
Full text available

Methods to solve half-plane partial slip contact problems

International Journal of Solids and Structures
(1 January 2018)

Ice formation within a thin film flowing over a flat plate

JOURNAL OF FLUID MECHANICS
volume 817
page 455-489
(25 April 2017)
Full text available

## Research Interests:

- Mathematical modelling.

- Fluid dynamics, perturbation methods, matched asymptotics, integral equations.

- Complex analysis, particularly singular integral equations and Riemann-Hilbert problems.

- Splash dynamics and water entry.

- Aircraft icing.

## Preferred Address:

## Teaching:

First-year Mathematics tutor: Geometry, Fourier Series & PDEs, Multivariable Calculus

Second-year Mathematics tutor: Integral Transforms, Differential Equations I & II, Calculus of Variations

First-year Physics tutor: CP3 & CP4 papers

## Prizes, Awards, and Scholarships:

3rd place, IMA Lighthill-Thwaites Prize 2013

Jesus College Graduate Scholarship 2012-2013

## Major / Recent Publications:

Cimpeanu, R. & Moore, M. R. (2018) Early-time jet formation in liquid-liquid impact problems: theory and simulations. J. Fluid Mech. (In press)

Hills, D. A., Ramesh, R., Barber, J. R., & Moore, M. R. (2018) Methods to solve half-plane partial slip contact problems. Int. J. Solids Struct. (In press)

Moore, M. R., Ramesh, R., Hills, D. A. & Barber, J. R. (2018) Half-plane partial slip contact problems with a constant normal load subject to a shear force and differential bulk tension. J. Mech. Phys. Solids **118**:245-253

Moore, M. R. & Hills, D. A. (2018) Solution of half-plane contact problems by distributing climb dislocations. Int. J. Solids Struct. **147**:61-66

Moore, M. R., Oliver, J. M. & Whiteley, J. P. (2018) On the deflection of a liquid jet by an air-cushioning layer. J. Fluid Mech. **846**:711-751

Moore, M.R., Mughal, M. S. & Papageorgiou, D. T. (2017) Ice formation within a thin film flowing over a flat plate. J. Fluid Mech. **817**:455-489

Moore, M.R. & Oliver, J. M. (2014) On air cushioning in axisymmetric impacts. IMA J. App. Math. **79**(4):661-680

Moore, M.R., Ockendon, H., Ockendon, J.R. & Oliver, J.M. (2014) Capillary and viscous perturbations to Helmholtz flows. J. Fluid Mech. **742**:R1

Moore M.R., Ockendon, J.R. & Oliver, J.M. (2013) Air-cushioning in impact problems. IMA J. App. Math. **78**:818-838

Moore M.R., Howison, S.D., Ockendon, J.R. & Oliver, J.M. (2013) A note on oblique water entry. J. Engg. Math. **81**:67-74

Moore M.R., Howison, S.D., Ockendon, J.R. & Oliver, J.M. (2012) Three-dimensional oblique water-entry problems at small deadrise angles. J. Fluid Mech. **711**:259-280

New Mathematical Models for Splash Dynamics, *D.Phil. Thesis* (2014)

Nonlinear Generalisations of Darcy's Law, *MSc Thesis *(2010)