Energy balance for forced two-dimensional incompressible ideal fluid flow
| Autor: | Filho, Milton Lopes, Lopes, Helena Nussenzveig |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1098/rsta.2021.0095 |
| Popis: | In [Commun Math Phys 348(1), 129-143, 2016], Cheskidov et al. proved that physically realizable weak solutions of the incompressible 2D Euler equations on a torus conserve kinetic energy. Physically realizable weak solutions are those that can be obtained as limits of vanishing viscosity. The key hypothesis was boundedness of the initial vorticity in $L^p$, $p>1$. In this work we extend their result, by adding forcing to the flow. |
| Databáze: | arXiv |
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