Warren Smith

Accepting PhD Students

PhD projects

Warren Smith’s research interests include:

Perturbation theory
Strongly nonlinear analysis
Moving boundary problems
Semiconductor lasers

Dr Smith is interested in supervising doctoral researchers in the following areas:

Mathematical modelling of planar-flow spin casting
Strongly nonlinear analysis applied to the Navier-Stokes equations

Research activity per year

44 Article
1 Editorial

45 results

2023
Cleaning effects due to shape oscillation of bubbles over a rigid boundary
Corbett, C., Wang, Q., Liu, W., Smith, W. & Walmsley, D., 18 Dec 2023, In: Physics of Fluids. 35, 12, 8 p., 123335.
Research output: Contribution to journal › Article › peer-review

Open Access
File
1 Downloads (Pure)
Numerical investigation of cavitation in periodontal Pockets: Insights for enhancing cleaning efficiency
Yu, Y., Smith, W., Wang, Q. & Walmsley, A. D., Nov 2023, In: Ultrasonics Sonochemistry. 100, 9 p., 106625.
Research output: Contribution to journal › Article › peer-review

Open Access
File
8 Downloads (Pure)
The evolution of a three-dimensional microbubble at a corner in a Maxwell fluid
O'Brien, E. N., Mahmud, M., Smith, W. R., Wang, Q. X. & Phillips, T. N., 25 Oct 2023, In: Physics of Fluids. 35, 10, 10 p., 103120.
Research output: Contribution to journal › Article › peer-review

Open Access
File
5 Downloads (Pure)
The mechanisms of jetting, vortex sheet and vortex ring development in asymmetric bubble dynamics
Yu, Y., Smith, W., Wang, Q. & Leighton, T. G., 2023, (Accepted/In press) In: Physics of Fluids.
Research output: Contribution to journal › Article › peer-review

File

51 Downloads (Pure)
The role of surface tension on the growth of bubbles by rectified diffusion
Smith, W. & Wang, Q., 16 Jun 2023, In: Ultrasonics Sonochemistry. 98, 8 p., 106473.
Research output: Contribution to journal › Article › peer-review

Open Access
File
5 Downloads (Pure)
2022
A theoretical model for the growth of spherical bubbles by rectified diffusion
Smith, W. & Wang, Q., 25 May 2022, In: Journal of Fluid Mechanics. 939, A28.
Research output: Contribution to journal › Article › peer-review

Open Access
File
78 Downloads (Pure)
A tractable mathematical model for rectified diffusion
Smith, W. & Wang, Q., 25 Nov 2022, In: Journal of Fluid Mechanics. 951, A12.
Research output: Contribution to journal › Article › peer-review

Open Access
File
20 Downloads (Pure)
Cavitation in a periodontal pocket by an ultrasonic dental scaler: A numerical investigation
Yu, Y., Mahmud, M., Vyas, N., Smith, W. R., Wang, Q. & Damien Walmsley, A., 1 Oct 2022, In: Ultrasonics Sonochemistry. 90, 106178.
Research output: Contribution to journal › Article › peer-review

Open Access
File
42 Downloads (Pure)
Microbubble dynamics in a viscous compressible liquid subject to ultrasound
Wang, Q., Liu, W., Corbett, C. & Smith, W., 4 Jan 2022, In: Physics of Fluids. 34, 1, 17 p., 012105.
Research output: Contribution to journal › Article › peer-review

Open Access
File
84 Downloads (Pure)
2021
The pitfalls of investigating rotational flows with the Euler equations
Smith, W. & Wang, Q., 25 Nov 2021, In: Journal of Fluid Mechanics. 927, 26 p., A42.
Research output: Contribution to journal › Article › peer-review

Open Access
File
71 Downloads (Pure)
The radiated acoustic pressure and time scales of a spherical bubble
Smith, W. & Wang, Q., Feb 2021, In: Fluid Dynamics Research. 53, 1, 015502.
Research output: Contribution to journal › Article › peer-review

Open Access
File
87 Downloads (Pure)
2020
Numerical investigation of bubble dynamics at a corner
Wang, Q., Mahmud, M., Smith, W. & Walmsley, D., 8 May 2020, In: Physics of Fluids. 32, 5, 053306 .
Research output: Contribution to journal › Article › peer-review

Open Access
File
3 Citations (Scopus)

294 Downloads (Pure)
Numerical investigation of cavitation generated by an ultrasonic dental scaler tip vibrating in a compressible liquid
Manmi, K., Wu, W. B., Vyas, N., Smith, W., Wang, Q. & Walmsley, D., May 2020, In: Ultrasonics Sonochemistry. 63, 8 p., 104963.
Research output: Contribution to journal › Article › peer-review

Open Access
File
3 Citations (Scopus)

373 Downloads (Pure)
2018
Radiative decay of the nonlinear oscillations of an adiabatic spherical bubble at small Mach number
Smith, W. & Wang, Q., 25 Feb 2018, In: Journal of Fluid Mechanics. 837, p. 1-18 18 p.
Research output: Contribution to journal › Article › peer-review

Open Access
File
3 Citations (Scopus)

236 Downloads (Pure)
2017
Asymptotic analysis of the attractors in two-dimensional Kolmogorov flow
Smith, W. & Wissink, J., 24 Jul 2017, (E-pub ahead of print) In: European Journal of Applied Mathematics. 24 p.
Research output: Contribution to journal › Article › peer-review

Open Access
File
1 Citation (Scopus)

202 Downloads (Pure)
Preface to the Sixth Special Issue on Practical Asymptotics
Smith, W., Feb 2017, In: Journal of Engineering Mathematics. 102, 1, p. 1-2 2 p.
Research output: Contribution to journal › Editorial › peer-review

Open Access
File

4 Citations (Scopus)

126 Downloads (Pure)
Viscous decay of nonlinear oscillations of a spherical bubble at large Reynolds number
Smith, W. & Wang, Q., 30 Aug 2017, (E-pub ahead of print) In: Physics of Fluids. 29, 082112.
Research output: Contribution to journal › Article › peer-review

Open Access
File
3 Citations (Scopus)

304 Downloads (Pure)
2016
Wave-structure interactions for the distensible tube wave energy converter
Smith, W., 1 Aug 2016, In: Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences. 472, 2192, 20 p., 20160160.
Research output: Contribution to journal › Article › peer-review

Open Access
File
1 Citation (Scopus)

156 Downloads (Pure)
2015
Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices
Smith, W. & Wattis, JAD., 23 Jun 2015, In: European Journal of Applied Mathematics. 19 p.
Research output: Contribution to journal › Article › peer-review

Open Access
File
204 Downloads (Pure)
Travelling waves in two-dimensional plane Poiseuille flow
Smith, W. & Wissink, JG., 30 Sept 2015, (E-pub ahead of print) In: SIAM Journal on Applied Mathematics. 75, 5, p. 2147–2169
Research output: Contribution to journal › Article › peer-review

Open Access
File
3 Citations (Scopus)

140 Downloads (Pure)
2013
Parameterization of travelling waves in plane Poiseuille flow
Smith, W. & Wissink, J., 2013, In: IMA Journal of Applied Mathematics. 11 p.
Research output: Contribution to journal › Article › peer-review
2 Citations (Scopus)
2010
Modulation equations for strongly nonlinear oscillations of an incompressible viscous drop
Smith, W., 1 Jul 2010, In: Journal of Fluid Mechanics. 654, p. 141-159 19 p.
Research output: Contribution to journal › Article › peer-review

Open Access
File
19 Citations (Scopus)

282 Downloads (Pure)
2008
On a Multiple-Scales Analysis of Multilateral Phenomena in Semiconductor Lasers
Cox, BP. & Smith, W., 1 Jan 2008, In: SIAM Journal on Applied Mathematics. 69, 1, p. 1-21 21 p.
Research output: Contribution to journal › Article
Solidification and downstream meniscus prediction in the planar-flow spin casting process
Bichi, AB., Smith, W. & Wissink, J., 1 Feb 2008, In: Chemical Engineering Science. 63, 3, p. 685-695 11 p.
Research output: Contribution to journal › Article
5 Citations (Scopus)
2007
Explicit modulation equations, Reynolds averaging and the closure problem for the Korteweg-deVries-Burgers equation
Smith, W., 14 Feb 2007, In: IMA Journal of Applied Mathematics. 72, 2, p. 163-179 17 p.
Research output: Contribution to journal › Article
2 Citations (Scopus)
Modulation equations and Reynolds averaging for finite-amplitude non-linear waves in an incompressible fluid
Smith, W., 16 Aug 2007, In: IMA Journal of Applied Mathematics. 72, 6, p. 923 1 p.
Research output: Contribution to journal › Article
4 Citations (Scopus)
Predictions of thermoelastic stress in a broad-area semiconductor laser
Cox, BP. & Smith, W., 1 Jan 2007, In: Applied Physics Letters. 90, 12, p. 121105 1 p.
Research output: Contribution to journal › Article
1 Citation (Scopus)
Solidification of a two-dimensional high-Reynolds-number flow and its application to laser percussion drilling
Smith, W. & Mattheij, RMM., 21 Feb 2007, In: European Journal of Applied Mathematics. 18, 1, p. 1-19 19 p.
Research output: Contribution to journal › Article
1 Citation (Scopus)
2005
On the sensitivity of strongly nonlinear autonomous oscillators and oscillatory waves to small perturbations
Smith, W., 17 Jan 2005, In: IMA Journal of Applied Mathematics. 70, p. 359-385 27 p.
Research output: Contribution to journal › Article
8 Citations (Scopus)
2004
The propagation and basal solidification of two-dimensional and axisymmetric viscous gravity currents
Smith, W., 1 Dec 2004, In: Journal of Engineering Mathematics. 50, p. 359-378 20 p.
Research output: Contribution to journal › Article
2003

Mathematical Modelling of Homeless Populations
Byatt-Smith, JG., Lacey, AA., Parker, DF., Simpson, D., Smith, W. & Wattis, JAD., 1 Jan 2003, In: Mathematical Scientist. 28, p. 1-12 12 p.
Research output: Contribution to journal › Article
Modelling laser induced melting
Verhoeven, JCJ., Jansen, JKM., Mattheij, RMM. & Smith, W., 1 Mar 2003, In: Mathematical and Computer Modelling. 37, 3-4, p. 419 1 p.
Research output: Contribution to journal › Article
2002
Mathematical modelling of a reverse flow reactor with catalytic surface dynamics
Smith, W. & Bobrova, LN., 1 Feb 2002, In: Chemical Engineering Science. 57, p. 393-407 15 p.
Research output: Contribution to journal › Article
5 Citations (Scopus)
Mathematical modelling of moisture-induced panel deformation
Smith, W. & Gramberg, HJJ., 1 Aug 2002, In: Journal of Engineering Mathematics. 43, 2-4, p. 347-366 20 p.
Research output: Contribution to journal › Article
2 Citations (Scopus)
Models for solidification and splashing in laser percussion drilling
Smith, W., 1 Jan 2002, In: SIAM Journal on Applied Mathematics. 62, 6, p. 1899-1923 25 p.
Research output: Contribution to journal › Article
12 Citations (Scopus)
2001
Mathematical modelling of electrical-optical effects in semiconductor laser operation
Smith, W., King, JR. & Tuck, B., 1 Jan 2001, In: SIAM Journal on Applied Mathematics. 61, 6, p. 2122-2147 26 p.
Research output: Contribution to journal › Article
4 Citations (Scopus)
One-dimensional models for heat and mass transfer in pulse-tube refrigerators
Smith, W., 1 Aug 2001, In: Cryogenics. 41, 8, p. 573-582 10 p.
Research output: Contribution to journal › Article
10 Citations (Scopus)
2000

Mathematical modelling of thermal hot-spots in semiconductor laser operation
Smith, W., 2000, In: Quarterly Journal of Mechanics and Applied Mathematics. 53, p. 149-172
Research output: Contribution to journal › Article › peer-review
Mathematical modelling of thermal runaway in semiconductor laser operation
Smith, W., 2000, In: Journal of Applied Physics. 87, p. 8276-8285
Research output: Contribution to journal › Article › peer-review
1999
Single-mode rate equations for semiconductor lasers with thermal effects
Smith, W. R., King, J. R., Tuck, B. & Orton, J. W., Aug 1999, In: IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 63, 1, p. 1-36 36 p.
Research output: Contribution to journal › Article › peer-review
10 Citations (Scopus)
The multi-mode rate equations for semiconductor lasers with thermal effects
Smith, W., 1999, In: Journal of Engineering Mathematics. p. 299-321
Research output: Contribution to journal › Article › peer-review
1997
Computational results of a dynamic simulation of the conforming shell gas journal bearing
Smith, W. R., Feb 1997, In: Tribology International. 30, 2, p. 151-162 12 p.
Research output: Contribution to journal › Article › peer-review
1 Citation (Scopus)
Mathematical modelling of thermal effects in semiconductor laser operation
Smith, W., King, J. R. & Tuck, B., 1997, In: IEE Proceedings-Optoelectron. 144, p. 389-396
Research output: Contribution to journal › Article › peer-review
1996

Numerical and asymptotic solution of a sixth-order nonlinear diffusion equation and related coupled systems
Smith, W., Howison, S. & Mayers, D., 1996, In: IMA Journal of Applied Mathematics. 57, p. 79-98
Research output: Contribution to journal › Article › peer-review
1995

A dynamic simulation of the conforming shell gas journal bearing
Howison, S., Mayers, D. & Smith, W., 1995, In: Journal of Engineering Mathematics. 29, p. 557-574
Research output: Contribution to journal › Article › peer-review

Warren Smith

Research output

Search results