Article Contents
Article Contents

# On the 2D free boundary Euler equation

• We provide a new simple proof of local-in-time existence of regular solutions to the Euler equation on a domain with a free moving boundary and without surface tension in 2 space dimensions. We prove the existence under the condition that the initial velocity belongs to the Sobolev space $H^{2.5+δ}$ where $\delta>0$ is arbitrary.
Mathematics Subject Classification: Primary: 35Q31, 74J15; Secondary: 35R37.

 Citation:

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