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arXiv · 1901.03581

Symmetry results for the solutions of a partial differential equation arising in water waves

Serena Dipierro·Pietro Miraglio·Enrico Valdinoci
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Abstract

This paper recalls some classical motivations in fluid dynamics leading to a partial differential equation which is prescribed on a domain whose boundary possesses two connected components, one endowed with a Dirichlet datum, and the other endowed with a Neumann datum. The problem can also be reformulated as a nonlocal problem on the component endowed with the Dirichlet datum. A series of recent symmetry results are presented and compared with the existing literature.

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Serena Dipierro, Pietro Miraglio, Enrico Valdinoci. 2019-01-11. Symmetry results for the solutions of a partial differential equation arising in water waves. https://arxiv.org/abs/1901.03581

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