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arXiv · 2106.00068

Blowup of Solutions to a Damped Euler Equation with Homogeneous Three-Point Boundary Condition

Ikechukwu Obi-Okoye·Alejandro Sarria
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Abstract

It has been established that solutions to the inviscid Proudman-Johnson equation subject to a homogeneous three-point boundary condition can develop singularities in finite time. In this paper, we consider the possibility of singularity formation in solutions of the generalized, inviscid Proudman-Johnson equation with damping subject to the same homogeneous three-point boundary condition. In particular, we derive conditions the initial data must satisfy in order for solutions to blowup in finite time with either bounded or unbounded smooth damping term.

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Ikechukwu Obi-Okoye, Alejandro Sarria. 2021-05-31. Blowup of Solutions to a Damped Euler Equation with Homogeneous Three-Point Boundary Condition. https://arxiv.org/abs/2106.00068

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