Adjunct Professor
Petrus van Heijster
This person does not currently hold a position at QUT.
Personal details
Keywords
reaction-diffusion equations, singularly perturbed techniques, stability analyses, nonlinear pattern formation, defect systems, travelling waves, interaction of localised structures
Research field
Applied mathematics, Pure mathematics, Numerical and computational mathematics
Field of Research code, Australian and New Zealand Standard Research Classification (ANZSRC), 2020
Qualifications
- Dr (University of Amsterdam)
Professional memberships and associations
- SIAM (Society for Industrial and Applied Mathematics)
- SIAM activity group: Dynamical Systems (Advisory Board 1/1/16 - present)
- SIAM activity group: Nonlinear Waves and Coherent Structures
- AustMS (Australian Mathematical Society)
- AustMS division: ANZIAM (Australia and New Zealand Industrial and Applied Mathematics)
Teaching
- 2017: Semester 2: Honours module on Singular Perturbation Methods
- 2017: Semester 2: MXB106: Linear algebra and Differential Equations (Lecturer (50 %) & Unit Coordinator)
- 2017: Semester 1: MXB102: Abstract Mathematical Reasoning (Lecturer & Unit coordinator)
- 2014: Semester 2: MAB/MAN413: Differential Equations (Unit Coordinator only)
- 2013: Semester 2: MAB/MAN413: Differential Equations (Lecturer & Unit Coordinator)
- 2013: Semester 1: MAB121: Single Variable Calculus and Differential Equations (Lecturer)
- 2012: Semester 2: MAB/MAN413: Differential Equations (Lecturer & Unit Coordinator)
Teaching awards and achievements
- 2017: Graduate Certificate in Academic Practice, QUT.
- 2014: QUT School of Mathematical Sciences awardee of the Science and Engineering Faculty Award for Excellence in Postgraduate Research Supervision.
Supervisions
Dr van Heijster has supervised 2 PhD students to completion and 1 honours student. Currently, he is supervising 4 PhD students.
Publications
- Davis, P., van Heijster, P. & Marangell, R. (2017). Absolute instabilities of travelling wave solutions in a Keller-Segel model. Nonlinearity, 30(11), 4029–4061. https://eprints.qut.edu.au/111568
- Doelman, A., van Heijster, P. & Xie, F. (2016). A geometric approach to stationary defect solutions in one space dimension. SIAM Journal on Applied Dynamical Systems, 15(2), 655–712. https://eprints.qut.edu.au/94752
- Sewalt, L., Harley, K., van Heijster, P. & Balasuriya, S. (2016). Influences of Allee effects in the spreading of malignant tumours. Journal of Theoretical Biology, 394, 77–92. https://eprints.qut.edu.au/92730
- van Heijster, P., Chen, C., Nishiura, Y. & Teramoto, T. (2018). Localized patterns in a three-component Fitzhugh-Nagumo model revisited via an action functional. Journal of Dynamics and Differential Equations, 30(2), 521–555. https://eprints.qut.edu.au/222975
- Chirilus-Bruckner, M., Doelman, A., van Heijster, P. & Rademacher, J. (2015). Butterfly catastrophe for fronts in a three-component reaction-diffusion system. Journal of Nonlinear Science, 25(1), 87–129. https://eprints.qut.edu.au/79686
- Harley, K., van Heijster, P., Marangell, R., Pettet, G. & Wechselberger, M. (2015). Numerical computation of an Evans function for travelling waves. Mathematical Biosciences, 266, 36–51. https://eprints.qut.edu.au/85919
- van Heijster, P., Hardway, H., Kaper, T. & Bradham, C. (2014). A computational model for BMP movement in sea urchin embryos. Journal of Theoretical Biology, 363, 277–289. https://eprints.qut.edu.au/76222
- van Heijster, P. & Sandstede, B. (2014). Bifurcations to travelling planar spots in a three-component FitzHugh-Nagumo system. Physica D: Nonlinear Phenomena, 275, 19–34. https://eprints.qut.edu.au/67122
- Harley, K., van Heijster, P., Marangell, R., Pettet, G. & Wechselberger, M. (2014). Existence of travelling wave solutions for a model of tumor invasion. SIAM Journal on Applied Dynamical Systems, 13(1), 366–396. https://eprints.qut.edu.au/67124
- van Heijster, P., Doelman, A., Kaper, T., Nishiura, Y. & Ueda, K. (2011). Pinned fronts in heterogeneous media of jump type. Nonlinearity, 24(1), 127–157. https://eprints.qut.edu.au/55895
QUT ePrints
For more publications by Petrus, explore their research in QUT ePrints (our digital repository).
Awards
- Type
- Academic Honours, Prestigious Awards or Prizes
- Reference year
- 2015
- Details
- QUT Vice-Chancellor's Performance Award for Excellence in Student Supervision
- Type
- Committee Role/Editor or Chair of an Academic Conference
- Reference year
- 2015
- Details
- Treasurer ANZIAM 2015 conference
- Type
- Keynote Speaker/Expert Panel Member/Invited Speaker for a Conference
- Reference year
- 2015
- Details
- Invited speaker at the international conference ICMMA 2015: Self-Organization Modeling and Analysis, Tokyo, Japan
- Type
- Fellowships
- Reference year
- 2009
- Details
- Rubicon fellowship to conduct two years of postdoctoral research at a top institute abroad.Awarded: 45.000 Euro.
Selected research projects
- Title
- Analysis of defect driven pattern formation in mathematical models
- Primary fund type
- CAT 1 - Australian Competitive Grant
- Project ID
- DE140100741
- Start year
- 2014
- Keywords
- dynamical systems; pattern formation; applied differential equations
Projects listed above are funded by Australian Competitive Grants. Projects funded from other sources are not listed due to confidentiality agreements.
Supervision
Completed supervisions (Doctorate)
The supervisions listed above are only a selection.