Projects per year
I work in the area of applied analysis, studying variational problems and partial differential equations that arise in continuum mechanics, in particular in nonlinear elasticity. A common feature of the problems studied is the often intriguing interplay between the properties of the underlying partial differential equations and the physics of the situation being modelled, with physical considerations yielding insight into the underlying mathematics and vice versa. This often requires the use of tools and concepts from diverse areas of mathematics ranging from analysis, differential equations, geometry, and topology to numerical analysis and continuum physics.
One main area of interest has been to study the existence and properties of singular energy minimisers and their connection with fracture mechanisms observed in polymers. A key problem here, on which I have been working, is to develop new numerical approaches to predicting the formation and location of singularities.
A more recent interest has been to understand the connections between my previous studies in nonlinear elasticity and corresponding phenomena in fluid mechanics.
- 1 Similar Profiles
Collaborations and top research areas from the last five years
Dive into details
Select a country/territory to view shared publications and projects
- 4 Finished
1/05/09 → 31/08/11
Project: Research council
31/05/08 → 6/06/08
Project: Research council
Negron-Marrero, P. V. & Sivaloganathan, J., 31 Dec 2022, In: SIAM Journal on Applied Mathematics. 82, 3, p. 849-871 23 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile19 Downloads (Pure)
On the convergence of a regularization scheme for approximating cavitation solutions with prescribed cavity volume sizeNegron-Marrero, P. V. & Sivaloganathan, J., 2020, In: SIAM Journal on Applied Mathematics. 80, 1, p. 119-141
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile22 Downloads (Pure)
Acharya, A., Knops, R. & Sivaloganathan, J., 1 Sept 2019, In: Journal of the Mechanics and Physics of Solids. 130, p. 216-244 29 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile6 Citations (SciVal)18 Downloads (Pure)
Sivaloganathan, J. & Spector, S. J., 1 Oct 2018, In: Journal of Elasticity. 133, 1, p. 73-103 31 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile11 Citations (SciVal)72 Downloads (Pure)
Sivaloganathan, J. & Spector, S. J., 31 Aug 2015, In: Journal of Elasticity. 120, 2, p. 161-195 35 p.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile1 Citation (SciVal)185 Downloads (Pure)