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physics.flu-dyn2018
Linear Stability of Inviscid Vortex Rings to Axisymmetric Perturbations
Bartosz Protas
We consider the linear stability to axisymmetric perturbations of the family of inviscid vortex rings discovered by Norbury (1973). Since these vortex rings are obtained as solutio…
physics.flu-dyn2018
On the convergence of data assimilation for the one-dimensional shallow water equations with sparse observations
N. K. -R. Kevlahan, R. Khan, B. Protas
The shallow water equations (SWE) are a widely used model for the propagation of surface waves on the oceans. We consider the problem of optimally determining the initial condition…