SEEK: Salford Environment for Expertise and Knowledge
Dr James Christian
Dr James Christian
postal addressSchool of Computing Science and Engineering, Newton Building (Office 272), University of Salford, Greater Manchester, United Kingdom, M5 4WT.
email addressj.christian@salford.ac.uk
telephone0161 295 5383
website addresshttp://www.salford.ac.uk/computing-science-engineering/cse-academics/james-m-christian
Key Memberships
Full Member of Research Centre: Salford Innovation Research Centre (SIRC)
From September 2015 to present.
Full Member of Research Centre: Materials & Physics Research Centre
From October 2009 to August 2015.
Profile Summary

MATHEMATICAL FLUID DYNAMICS

Diffuse wakes and viscous flow problems. Calculation of flow fields around bluff bodies; Green’s boundary integral formulation of fluidic and aerodynamic problems; D’Alembert’s paradox; development of Eulerlet methods for predicting lift and drag characteristics.

• Non-Newtonian effects in Maxwellian fluids.   Perturbation theory applied to peristaltic wave propagation; Maxwellian rheology (compressible fluids, viscoelasticity, finite-time response); finite-slip boundary conditions.

FRACTALS & COMPLEXITY

• Scattering of electromagnetic fields.  Mathematical descriptions of scattered waves (Kirchhoff, Rayleigh-Sommerfeld, Fresnel); circulation and edge-wave formulations; computation of diffraction patterns; complex domains (fractal apertures and screens); scattering problems with fractal waves; boundary element methods.

• Fractal lasers.  Virtual-source modelling of unstable-cavity lasers; role of transverse symmetry and kaleidoscope / fractal boundary conditions; computation of fractal dimension.

• Spontaneous pattern formation.  Reaction-diffusion systems (dispersive & absorptive nonlinearities); thin-slice geometries (single feedback-mirror, ring cavity, Fabry-Pérot); propagation in bulk nonlinear media (counter-propagating beams, filled ring cavities); discrete nonlinear equations (Schrödinger and Ablowitz-Ladik) with ring cavity and counter-propagation boundary conditions; incoherent patterns and video-feedback systems.

NONLINEAR WAVES

• Spatiotemporal solitons. Spatially-dispersive systems (exact spatiotemporal solitons & stability); multi-component models (vector solutions & modulational instabilities); complex Ginzburg-Landau models and dissipative waves; nonlinear Klein-Gordon equations (exact solutions & stability); pulse propagation in nonlinear metamaterials.

• Nonparaxial spatial solitons.  Fundamentals: geometrical aspects of beam propagation (exact analytical solitons of nonlinear Helmholtz equations, simulations of nonlinear wave phenomena, internal modes, stability & bistability); weakly-nonlinear analysis for Helmholtz equations; delocalized solutions (boundary solitons, cnoidal waves); multi-component solitons (coupled equations, vector solutions, stability); modelling ultranarrow optical beams. Applications: single interfaces (soliton refraction & Goos-Hänchen shifts); nonlinear surface waves (exact solutions & stability); solitons in patterned systems (waveguide arrays, photonic crystals).

• Ultra-broadband multi-frequency Raman generation.  Exact solutions of UMRG equations; gain suppression analyses; detuning effects (linear and nonlinear); computational modelling of transient dynamics; novel cavity applications (ultrashort pulse generation, spontaneous self-synchronization).

Key Qualifications
2006
2002
2000
2014
2014
2013
Key Publications
Refereed Journal Articles
Other Journal Articles
Abstracts
Magazine Articles
Meeting Abstracts
Papers in Published Conference Proceedings
Performances
Key Presence
External Examiner Duties
2018
May

Rabeea M. H. Darghoth, PhD thesis (Applied Mathematics) "An investigation of the Oseen differential equations for the boundary layer."

Honours and Awards
2010
Jun

Internal award of £2,000 for Research Support

2009
Oct

Internal award of £2,000 for Research Support

2002
Jul
2001
Jul
Invited Papers and Lectures
2017
Jul
2017
Mar
2017
Mar
2013
Jun
2012
May
2011
Sep
2010
Sep
2010
Jun
2008
Oct
2006
Sep
2005
Sep
Memberships of External Bodies
2018
Jan
2014
Aug
2013
Jul
2002
Sep
Other Evidence of External Esteem
2012
Jun

Collaborations with other national and international reserach institutions evidenced by joint co-authorship of publications and conference contributions from 2005 - date:

Shanxi University, Taiyuan, China

U... more >>.

2006
Oct

Optics Express (2015 - present)

Europhysics Letters (2014 - present)

Zeitschrift fuer Natrurforschung A: Journal of Physical ... more >>.

Other Research Activity
2014
Nov

Prof. Rongcao Yang, Shanxi University, China.  4-month academic visit funded by Scholarship Council of China (November 2014 – March 2015).

2013
Aug

£500 AWARDED: funding from University of Salford PGR conference fund to contribute to costs associated with presenting six papers at 3rd Annual Student Conference on Complexity Sci... more >>.

2013
Jun

£1,200 AWARDED: funding from University of Salford ICF to contribute to costs associated with presenting four papers at Nonlinear Optics 2013 Topical Meeting, Kohala Coast, Hawaii, U... more >>.

2012
Sep

£195 AWARDED: funding from Rank Prize Bursary Fund (Optoelectronics Committee) to contribute to costs associated with PhD student (Christopher Bostock) presenting papers at Photon12 (htt... more >>.

2012
Jun

£1,240 AWARDED: School Research Funds (to support conference costs).

2011
Oct

PhD LEVEL:

Main supervisor for students: Christopher Bostock (GTA, 01/10/2011-present) and Emily A McCoy (DTA, 01/10/2010-present).  Also Timothy J. Ashcroft (DTA, 01/10/08-25/09/09)

<... more >>.
2009
Jun

£2,500 AWARDED: EPSRC Vacation Bursary: Self-sustaining light pulses arising from novel seminconductor material effects (awarded to Timothy F.Hodgkinson, 22/06/09 - 30/08/09).

Co-sup... more >>.

2007
Aug

£800 AWARDED: funding from University of Salford ICF to contribute to costs associated with presenting two papers at Nonlinear Photonics 2007 Topical Meeting, Québec City, Canada (http://www.osa.or... more >>.