A steady Euler flow with compact support
A.V. Gavrilov
TL;DR
This paper constructs a smooth, nontrivial steady incompressible Euler flow in three dimensions that has compact support and exhibits a unique relationship between the Bernoulli function and pressure.
Contribution
It presents the first known example of a smooth steady Euler flow with compact support and a specific Bernoulli-pressure dependence.
Findings
Flow has compact support in three dimensions.
Bernoulli function and pressure are dependent in the constructed flow.
Flow is smooth and nontrivial.
Abstract
A nontrivial smooth steady incompressible Euler flow in three dimensions with compact support is constructed. Another uncommon property of this solution is the dependence between the Bernoulli function and the pressure.
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Taxonomy
TopicsNavier-Stokes equation solutions · Computational Fluid Dynamics and Aerodynamics · Fluid Dynamics and Turbulent Flows