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arXiv · 1105.3639

On the uniqueness of solution to the steady Euler equations with perturbations

Dongho Chae
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Abstract

In this paper we study the uniqueness property of solutions to the steady incompressible Euler equations with perturbations in $\Bbb R^N$. Our perturbations include as special cases the Euler equations with a `single signed' nonlinear term, the self-similar Euler equations, and the steady Navier-Stokes equations. For these equations show that suitable decay assumptions at infinity on the solution or its derivatives, imposed by the $L^q$ conditions imply that the only possible solution is zero.

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Dongho Chae. 2011-05-18. On the uniqueness of solution to the steady Euler equations with perturbations. https://arxiv.org/abs/1105.3639

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