Tim Marchant

Higher-dimensional extended shallow water equations and resonant soliton radiation

TP Horikis, DJ Frantzeskakis, TR Marchant, NF Smyth

Journal article  |  2021  |  Physical Review Fluids

The higher order corrections to the equations that describe nonlinear wave motion in shallow water are derived from the water wave..

Nematic Dispersive Shock Waves from Nonlocal to Local

Saleh Baqer, Dimitrios J Frantzeskakis, Theodoros P Horikis, Come Houdeville, Timothy R Marchant, Noel F Smyth

Journal article  |  2021  |  APPLIED SCIENCES-BASEL

The structure of optical dispersive shock waves in nematic liquid crystals is investigated as the power of the optical beam is var..

Numerical and analytical study of undular bores governed by the full water wave equations and bidirectional Whitham-Boussinesq equations

Rosa Maria Vargas-Magana, TR Marchant, Noel F Smyth

Journal article  |  2021  |  PHYSICS OF FLUIDS

Undular bores, also termed dispersive shock waves, generated by an initial discontinuity in height as governed by two forms of the..

Kinetic modelling of Prileschajew epoxidation of oleic acid under conventional heating and microwave irradiation

AF Aguilera, P Tolvanen, K Eränen, J Wärnå, S Leveneur, T Marchant, T Salmi

Journal article  |  2019  |  Chemical Engineering Science

Epoxidation of oleic acid by peracetic acid (PAA) was studied in a recycled reactor system under conventional heating and microwav..

2-D solitary waves in thermal media with nonsymmetric boundary conditions

Simon A Louis, Tim R Marchant, Noel F Smyth

Journal article  |  2019  |  STUDIES IN APPLIED MATHEMATICS

Optical solitary waves and their stability in focusing thermal optical media, such as lead glasses, are studied numerically and th..

Feedback control for a diffusive delay logistic equation: Semi-analytical solutions

HY Alfifi, TR Marchant

Journal article  |  2018  |  IAENG International Journal of Applied Mathematics

Semi-analytical solutions are considered for a delay logistic equation with non-smooth feedback control, in a one dimensional reac..

Dispersive shock waves governed by the Whitham equation and their stability

X An, TR Marchant, NF Smyth

Journal article  |  2018  |  PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

Dispersive shock waves (DSWs), also termed undular bores in fluid mechanics, governed by the non-local Whitham equation are studie..

Higher-order modulation theory for resonant flow over topography

M Daher Albalwi, TR Marchant, Noel F Smyth

Journal article  |  2017  |  PHYSICS OF FLUIDS

The flow of a fluid over isolated topography in the long wavelength, weakly nonlinear limit is considered. The upstream flow veloc..

Optical dispersive shock waves in defocusing colloidal media

X An, TR Marchant, NF Smyth

Journal article  |  2017  |  PHYSICA D-NONLINEAR PHENOMENA

The propagation of an optical dispersive shock wave, generated from a jump discontinuity in light intensity, in a defocusing collo..

Application of fractional calculus in modelling ballast deformation under cyclic loading

Y Sun, B Indraratna, JP Carter, T Marchant, S Nimbalkar

Journal article  |  2017  |  Computers and Geotechnics

Most constitutive models can only simulate cumulative deformation after a limited number of cycles. However, railroad ballast usua..