Vincent T. Teyekpiti

Academic Qualifications
PhD in Applied and Computational Mathematics, University of Bergen, Norway, 2018.
MSc in Mathematical Analysis, University of Bergen, Norway, 2013.
BA (Hons) Mathematics and Psychology, University of Ghana, Legon, 2009.

Research interest
Partial Differential Equations.
Hyperbolic conservation laws.
Wave propagation and interaction problems in fluid mechanics.
Geophysical fluid dynamics.
Asymptotic analysis.

Current research/project(s)
Wave-current interaction
Modelling of surface wave propagation in a fluid is usually based on classical systems of Partial Differential Equations which are obtained in the context of irrotational flow. In this framework, the influence of vorticity is completely disregarded in the formulation of the equations which govern the flow. Although this consideration is justified in many circumstances, there are a fair number of observed cases in near-shore hydrodynamics and open channel flow where this approach is unsuitable. The aim of this project is to study the Riemann problem for a system incorporating background shear and investigate wave-current interaction with the goal of obtaining physically reasonable admissibility solutions in the classical sense.

Recent publications
H. Kalisch, D. Mitrovic and V. Teyekpiti
Existence and Uniqueness of Singular Solutions for a Conservation Law Arising in
Magnetohydrodynamics
Nonlinearity 31 (2018) 5463.
https://iopscience.iop.org/article/10.1088/1361-6544/aae04b
H. Kalisch, D. Mitrovic and V. Teyekpiti
Delta shock waves in shallow water flow
Physics Letters A 381 (2017),1138-1144.
https://www.sciencedirect.com/science/article/abs/pii/S0375960116320953