Benjamin Ingimarson

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math.AP2026

On the blowup rate of vorticity for the Euler equations in a bounded domain

Benjamin Ingimarson, Igor Kukavica

Given that a solution to the 3D incompressible Euler equations on a bounded domain blows up at a time $T_{*}$ and that $T_{*}$ is the first such time, we provide pointwise-in-tim…

math.AP2026

Lower bounds on the blowup rate of vorticity in the Euler equations

Benjamin Ingimarson, Igor Kukavica

Under the assumption that a solution to the 3D incompressible Euler equations blows up at a time $T_{*}$ and that $T_{*}$ is the first such time, we establish lower bounds on th…

math.AP2026

Stabilization of an incompressible fluid-elastic structure system using a vacuum bubble

B. Ingimarson, I. Kukavica, W. S. OÅ¼aÅski

We prove a priori estimates for the system of partial differential equations modeling the interaction between an elastic body and an incompressible fluid in a 3D curved domain. The…

math.AP2025

The Euler equations with variable coefficients

Benjamin Ingimarson, Igor Kukavica, Amjad Tuffaha

We establish local-in-time existence for the Euler equations on a bounded domain with space-time dependent variable coefficients, given initial data $v_{0} \in H^{r}$ under the optimal…